Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 1
Submit an article Journal homepage
917
Views
263
CrossRef citations to date
0
Altmetric
Original Articles

Generalized contractions in partially ordered metric spaces

Ravi P. Agarwal Department of Mathematical Science, Florida Institute of Technology, Melbourne, Florida, 32901, USACorrespondence[email protected]
,
M. A. El-Gebeily Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, 31261, KSA
&
Donal O'Regan Department of Mathematics, National University of Ireland, Galway, Ireland
Pages 109-116 | Received 20 Jun 2007, Accepted 04 Jul 2007, Published online: 22 Jan 2008

Citations (263)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Hemant Kumar Nashine, Bessem Samet & Calogero Vetro. (2012) Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations. Numerical Functional Analysis and Optimization 33:11, pages 1304-1320.
Read now
Ljubomir Ćirić & V. Lakshmikantham. (2009) Coupled Random Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces. Stochastic Analysis and Applications 27:6, pages 1246-1259.
Read now

Articles from other publishers (261)

Faizan Ahmad Khan, Nidal H. E. Eljaneid, Ahmed Alamer, Esmail Alshaban, Fahad Maqbul Alamrani & Adel Alatawi. (2024) Matkowski-Type Functional Contractions under Locally Transitive Binary Relations and Applications to Singular Fractional Differential Equations. Fractal and Fractional 8:1, pages 72.
Crossref
Muhammed Raji, Laxmi Rathour, Lakshmi N. Mishra & Vishnu N. Mishra. (2023) Generalized Rational Type Contraction and Fixed Point Theorems in Partially Ordered Metric Spaces. Journal of Advances in Applied & Computational Mathematics 10, pages 153-162.
Crossref
Zhong Zhao & Talat Nazir. (2023) Existence of Common Coupled Fixed Points of Generalized Contractive Mappings in Ordered Multiplicative Metric Spaces. Electronic Journal of Applied Mathematics 1:3, pages 1-15.
Crossref
Muhammed Raji. (2022) Generalized $$\alpha $$-$$\psi $$ contractive type mappings and related coincidence fixed point theorems with applications. The Journal of Analysis 31:2, pages 1241-1256.
Crossref
Muhammad Bilal Hafeez & Marek Krawczuk. (2023) A Review: Applications of the Spectral Finite Element Method. Archives of Computational Methods in Engineering 30:5, pages 3453-3465.
Crossref
Tayebe Lal Shateri. 2023. Fixed Point Theory and Chaos. Fixed Point Theory and Chaos.
Ebrahem Ateatullah Algehyne, Musaad Sabih Aldhabani & Faizan Ahmad Khan. (2023) Relational Contractions Involving (c)-Comparison Functions with Applications to Boundary Value Problems. Mathematics 11:6, pages 1277.
Crossref
Arslan Hojat Ansari, Demet Binbasioglu & Duran Turkoglu. (2021) $RC-$Class on some fixed point theorems for multivalued monotone mappings in ordered uniform spaces. Novi Sad Journal of Mathematics 53:2, pages 87-100.
Crossref
Elumalai Paramasivam & Sangeetha Sampath. Tripled fixed point theorems in partially ordered ε-chainable metric spaces for uniformly locally contractive mappings. Tripled fixed point theorems in partially ordered ε-chainable metric spaces for uniformly locally contractive mappings.
Mihai Turinici. 2023. Exploring Mathematical Analysis, Approximation Theory, and Optimization. Exploring Mathematical Analysis, Approximation Theory, and Optimization 381 429 .
Kedir Husen Haji, Kidane Koyas Tola & Mustefa Abduletif Mamud. (2022) Fixed point results for generalized rational type $$\alpha$$ -admissible contractive mappings in the setting of partially ordered b-metric spaces. BMC Research Notes 15:1.
Crossref
Pari Amiri & Mohammad Esmael Samei. (2022) Existence of Urysohn and Atangana–Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators. Chaos, Solitons & Fractals 165, pages 112822.
Crossref
Mohammad Arif, Mohammad Imdad & Salvatore Sessa. (2022) φ-ψ-Contractions under W-Distances Employing Symmetric Locally T-Transitive Binary Relation. Symmetry 14:7, pages 1456.
Crossref
Mohammad Asim, Mohammad Imdad & Salvatore Sessa. (2022) Order-Theoretic Common Fixed Point Results in Rmb-Metric Spaces. Symmetry 14:7, pages 1376.
Crossref
Anam Arif, Muhammad Nazam, Hamed H. Al-Sulami, Aftab Hussain & Hasan Mahmood. (2022) Fixed Point and Homotopy Methods in Cone A-Metric Spaces and Application to the Existence of Solutions to Urysohn Integral Equation. Symmetry 14:7, pages 1328.
Crossref
N. Seshagiri Rao, K. KalyaniK. Prasad Prasad. (2022) Coincidence Point Results in Ordered Metric Spaces and its Application. Punjab University Journal of Mathematics, pages 33-43.
Crossref
Anam Arif, Muhammad Nazam, Aftab Hussain & Mujahid Abbas. (2022) The ordered implicit relations and related fixed point problems in the cone $ b $-metric spaces. AIMS Mathematics 7:4, pages 5199-5219.
Crossref
Oluwatosin Temitope Mewomo, Bahru Tsegaye Leyew & Mujahid Abbas. (2022) Fixed point results for generalized multivalued orthogonal α - F -contraction of integral type mappings in orthogonal metric spaces . Topological Algebra and its Applications 10:1, pages 113-131.
Crossref
A. Thanga Pandi, A. Anthony Raj, J. Maria Joseph & E. Ramganesh. Common fixed point theorems in B-metric spaces. Common fixed point theorems in B-metric spaces.
Talat Nazir & Sergei Silvestrov. 2022. Stochastic Processes, Statistical Methods, and Engineering Mathematics. Stochastic Processes, Statistical Methods, and Engineering Mathematics 343 365 .
Mihai Turinici. 2022. Approximation and Computation in Science and Engineering. Approximation and Computation in Science and Engineering 875 925 .
Basit Ali, Talat Nazir & Nozara Sundus. 2022. Methods of Mathematical Modelling and Computation for Complex Systems. Methods of Mathematical Modelling and Computation for Complex Systems 375 411 .
Solomon Gebregiorgis Teweldemedhin & Kidane Koyas Tola. (2021) Fixed Point Results for an Almost Generalized -Admissible -Contraction in the Setting of Partially Ordered b-Metric Spaces . Abstract and Applied Analysis 2021, pages 1-11.
Crossref
Gholamreza Heidary Joonaghany, Oluwatosin Temitope Mewomo & Farshid Khojasteh. (2021) Weak KKH-Caristi type expansion on complete b-metric and b-ordered metric spaces and its consequences. Afrika Matematika 32:7-8, pages 1281-1294.
Crossref
Kalyani K, Seshagiri Rao NAMANA & Belay MİTİKU. (2021) Some fixed point results in ordered $b$-metric space with auxiliary functions. Advances in the Theory of Nonlinear Analysis and its Application 5:3, pages 421-432.
Crossref
Seher Sultan YEŞİLKAYA. (2021) Fixed Points for Generalized Type Contractions in Partially Ordered Metric Spaces. Adıyaman University Journal of Science.
Crossref
Aftab Alam, Reny George, Mohammad Imdad & Md Hasanuzzaman. (2021) Fixed Point Theorems for Nonexpansive Mappings under Binary Relations. Mathematics 9:17, pages 2059.
Crossref
Samera M. Saleh, Salvatore Sessa, Waleed M. Alfaqih & Fawzia Shaddad. (2021) Common Fixed Point Results for Almost ℛg-Geraghty Type Contraction Mappings in b2-Metric Spaces with an Application to Integral Equations. Axioms 10:2, pages 101.
Crossref
Animesh Gupta & Vandana Rai. (2021) Binary relation for tripled fixed point theorem in metric spaces. Boletim da Sociedade Paranaense de Matemática 39:2, pages 9-26.
Crossref
Yumnam Mahendra Singh & Mohammad Saeed Khan. 2021. Metric Fixed Point Theory. Metric Fixed Point Theory 135 157 .
Mihai Turinici. 2021. Nonlinear Analysis, Differential Equations, and Applications. Nonlinear Analysis, Differential Equations, and Applications 639 703 .
K. Rajendra Prasad, Mahammad Khuddush & D. Leela. (2020) Existence of solutions for infinite systems of regular fractional Sturm-Liouville problems in the spaces of tempered sequences. Tbilisi Mathematical Journal 13:4.
Crossref
Gopi Prasad, Ramesh Chandra Dimri & Ayush Bartwal. (2019) Fixed points of Suzuki contractive mappings in relational metric spaces. Rendiconti del Circolo Matematico di Palermo Series 2 69:3, pages 1347-1358.
Crossref
Cristian Chifu, Adrian Petruşel & Gabriela Petruşel. (2020) Fixed point results for non-self nonlinear graphic contractions in complete metric spaces with applications. Journal of Fixed Point Theory and Applications 22:4.
Crossref
N. Seshagiri Rao & K. Kalyani. (2020) Unique fixed point theorems in partially ordered metric spaces. Heliyon 6:11, pages e05563.
Crossref
Seher Sultan Yeşilkaya & Cafer Aydın. (2020) Fixed Point Results of Expansive Mappings in Metric Spaces. Mathematics 8:10, pages 1800.
Crossref
Nawab Hussain, M.A. Kutbi & Peyman Salimi. (2020) Global optimal solutions for proximal fuzzy contractions. Physica A: Statistical Mechanics and its Applications 551, pages 123925.
Crossref
Mohammad Arif, Idrees A. Khan, Mohammad Imdad & Aftab Alam. (2020) Employing Locally Finitely -Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions . Journal of Function Spaces 2020, pages 1-12.
Crossref
Pulak Konar, Sumit Chandok, Samir Kumar Bhandari & Manuel De la Sen. (2020) An interesting approach to the existence of coupled fixed point. AIMS Mathematics 6:3, pages 2217-2227.
Crossref
Raju Gopi, Veerasamy Pragadeeswarar, Choonkil Park & Dong Yun Shin. (2020) Coupled common best proximity point theorems for nonlinear contractions in partially ordered metric spaces. AIMS Mathematics 5:6, pages 6913-6928.
Crossref
Seher Sultan Yeşilkaya, Cafer Aydın & Adem Eroǧlu. (2020) Fixed point results on ordered Prešić type mappings. AIMS Mathematics 5:5, pages 5140-5156.
Crossref
Vishal Gupta, Gerald Jungck & Naveen Mani. (2020) Some novel fixed point theorems in partially ordered metric spaces. AIMS Mathematics 5:5, pages 4444-4452.
Crossref
Aftab Alam, Mohammad Imdad & Mohammad Arif. (2019) Observations on relation-theoretic coincidence theorems under Boyd–Wong type nonlinear contractions. Fixed Point Theory and Applications 2019:1.
Crossref
Phikul Sridarat, Raweerote Suparaturatorn, Suthep Suantai & Yeol Je Cho. (2018) Convergence Analysis of SP-Iteration for G-Nonexpansive Mappings with Directed Graphs. Bulletin of the Malaysian Mathematical Sciences Society 42:5, pages 2361-2380.
Crossref
Murchana Neog, Mohammed M. M. Jaradat & Pradip Debnath. (2019) Common Fixed Point Results of Set Valued Maps for Aφ-Contraction and Generalized ϕ-Type Weak Contraction. Symmetry 11:7, pages 894.
Crossref
G. N. V. Kishore, K. P. R. Rao, A. Sombabu & R. V. N. S. Rao. (2019) Related Results to Hybrid Pair of Mappings and Applications in Bipolar Metric Spaces. Journal of Mathematics 2019, pages 1-7.
Crossref
Piyachat Borisut, Poom Kumam, Vishal Gupta & Naveen Mani. (2019) Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems. Mathematics 7:3, pages 266.
Crossref
G. Venkata Rao & Y. Vijaya Sri. (2019) A Common Fixed Point Theorems for Generalized Contraction Mappings and Partially and Ordered Metric Spaces. Journal of Physics: Conference Series 1172, pages 012111.
Crossref
Umar Yusuf Batsari, Poom Kumam & Sompong Dhompongsa. (2019) Fixed points of terminating mappings in partial metric spaces. Journal of Fixed Point Theory and Applications 21:1.
Crossref
Aram V. Arutyunov, Evgeny S. Zhukovskiy & Sergey E. Zhukovskiy. (2018) Caristi-Like Condition and the Existence of Minima of Mappings in Partially Ordered Spaces. Journal of Optimization Theory and Applications 180:1, pages 48-61.
Crossref
Mihai Turinici. 2019. Mathematical Analysis and Applications. Mathematical Analysis and Applications 587 638 .
Mihai Turinici. 2019. Differential and Integral Inequalities. Differential and Integral Inequalities 761 829 .
Aditya Singh, Mudasir Younis & Deepak Singh. 2019. Integral Methods in Science and Engineering. Integral Methods in Science and Engineering 437 450 .
Kanokwan Sawangsup & Wutiphol Sintunavarat. (2018) On solving nonlinear matrix equations in terms of b-simulation functions in b-metric spaces with numerical solutions. Computational and Applied Mathematics 37:5, pages 5829-5843.
Crossref
Umar Batsari, Poom Kumam & Kanokwan Sitthithakerngkiet. (2018) Some Globally Stable Fixed Points in b-Metric Spaces. Symmetry 10:11, pages 555.
Crossref
Hiranmoy Garai, Lakshmi Kanta Dey & Ankush Chanda. (2018) Positive solutions to a fractional thermostat model in Banach spaces via fixed point results. Journal of Fixed Point Theory and Applications 20:3.
Crossref
Gopi Prasad & Ramesh Chandra Dimri. (2018) Fixed point theorems for weakly contractive mappings in relational metric spaces with an application. The Journal of Analysis 26:1, pages 151-162.
Crossref
Mina Dinarvand. (2017) Fixed points for generalized contractions via rational expressions in partially ordered b-metric spaces and applications to integral equations. Afrika Matematika 29:1-2, pages 175-193.
Crossref
Asma Rashid Butt, Ismat Beg & Aqsa Iftikhar. (2018) Fixed points on ordered metric spaces with applications in homotopy theory. Journal of Fixed Point Theory and Applications 20:1.
Crossref
Karim Chaira, Abderrahim Eladraoui, Mustapha Kabil & Samih Lazaiz. (2018) Extension of Kirk-Saliga Fixed Point Theorem in a Metric Space with a Reflexive Digraph. International Journal of Mathematics and Mathematical Sciences 2018, pages 1-6.
Crossref
Manjusha P. Gandhi & Anushri A. Aserkar. 2018. Mathematics and Computing. Mathematics and Computing 169 183 .
Mihai Turinici. 2018. Applications of Nonlinear Analysis. Applications of Nonlinear Analysis 781 825 .
Umar Yusuf Batsari & Poom Kumam. 2018. Econometrics for Financial Applications. Econometrics for Financial Applications 360 368 .
He Yang, Ravi P Agarwal & Hemant K Nashine. (2017) Coupled fixed point theorems with applications to fractional evolution equations. Advances in Difference Equations 2017:1.
Crossref
Mina DINARVAND & Jamal REZAEI ROSHAN. (2017) Common Fixed Points for Nonlinear $(\psi ,\varphi)_{s}$-weakly $C$-contractive Mappings in Partially Ordered $b$-metric Spaces. Tokyo Journal of Mathematics 40:1.
Crossref
Tayebe Lal Shateri. (2017) $$C^*$$ C ∗ -algebra-valued modular spaces and fixed point theorems. Journal of Fixed Point Theory and Applications 19:2, pages 1551-1560.
Crossref
Reza Arab. (2017) Common fixed point theorem for two weakly compatible self mappings in b − metric spaces. Malaya Journal of Matematik 5:02, pages 328-336.
Crossref
Kanokwan Sawangsup & Wutiphol Sintunavarat. (2017) Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions. Open Mathematics 15:1, pages 111-125.
Crossref
Rqeeb Gubran & Mohammad Imdad. (2016) Results on Coincidence and Common Fixed Points for (ψ,φ)g-Generalized Weakly Contractive Mappings in Ordered Metric Spaces. Mathematics 4:4, pages 68.
Crossref
Zead Mustafa, Mohammed M. M. Jaradat, Arslan Hojat Ansari, Branislav Z. Popović & Husein M. Jaradat. (2016) C-class functions with new approach on coincidence point results for generalized $$(\psi ,\varphi )$$ ( ψ , φ ) -weakly contractions in ordered b-metric spaces. SpringerPlus 5:1.
Crossref
Rahma Zuhra & Mohd Salmi Md Noorani. (2016) A fixed point theorem in partially ordered quasi metric space. A fixed point theorem in partially ordered quasi metric space.
Jong Kyu Kim, Shaban Sedghi, A. Gholidahneh & M. Mahdi Rezaee. (2016) FIXED POINT THEOREMS IN S-METRIC SPACES. East Asian mathematical journal 32:5, pages 677-684.
Crossref
Ismat Beg, Amit Kumar Laha & Mantu Saha. (2016) Coincidence point of isotone mappings in partially ordered metric spaces. Rendiconti del Circolo Matematico di Palermo (1952 -) 65:2, pages 273-282.
Crossref
Azizollah Azizi, Mohammad Moosaei & Gita Zarei. (2016) Fixed point theorems for almost generalized $\mathcal{C}$-contractive mappings in ordered complete metric spaces. Fixed Point Theory and Applications 2016:1.
Crossref
Shuang Wang. (2016) Some fixed point theorems for G-isotone mappings in partially ordered metric spaces. Journal of the Egyptian Mathematical Society 24:3, pages 410-415.
Crossref
Seong-Hoon Cho. (2016) Generalized probabilistic G-contractions. Fixed Point Theory and Applications 2016:1.
Crossref
Mohammed Sani Mashina. (2016) On a Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered S-Metric Space. International Journal of Advanced Research in Mathematics 4, pages 8-13.
Crossref
Aftab Alam & Mohammad Imdad. (2016) MONOTONE GENERALIZED CONTRACTIONS IN ORDERED METRIC SPACES. Bulletin of the Korean Mathematical Society 53:1, pages 61-81.
Crossref
Aftab Alam, Qamrul Haq Khan & Mohammad Imdad. (2016) Discussion on Some Recent Order-Theoretic Metrical Coincidence Theorems Involving Nonlinear Contractions. Journal of Function Spaces 2016, pages 1-11.
Crossref
Mihai Turinici. 2016. Essays in Mathematics and its Applications. Essays in Mathematics and its Applications 513 562 .
Mihai Turinici. 2016. Mathematical Analysis, Approximation Theory and Their Applications. Mathematical Analysis, Approximation Theory and Their Applications 639 691 .
Marwan Amin Kutbi, Aftab Alam & Mohammad Imdad. (2015) Sharpening some core theorems of Nieto and Rodríguez-López with application to boundary value problem. Fixed Point Theory and Applications 2015:1.
Crossref
Erdal Karapınar & Kishin Sadarangani. (2014) Berinde mappings in ordered metric spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 109:2, pages 353-366.
Crossref
Aftab Alam, Qamrul Haq Khan & Mohammad Imdad. (2015) Enriching some recent coincidence theorems for nonlinear contractions in ordered metric spaces. Fixed Point Theory and Applications 2015:1.
Crossref
Yongfu Su & Jen-Chih Yao. (2015) Further generalized contraction mapping principle and best proximity theorem in metric spaces. Fixed Point Theory and Applications 2015:1.
Crossref
Hajer Argoubi, Mohamed Jleli & Bessem Samet. (2015) The study of fixed points for multivalued mappings in a Menger probabilistic metric space endowed with a graph. Fixed Point Theory and Applications 2015:1.
Crossref
Shaban Sedghi, Poom Kumam, Tatjana Došenović & Nabi Shobe. (2015) Two extensions of coupled coincidence point results for nonlinear contractive mappings. Journal of the Egyptian Mathematical Society 23:2, pages 343-351.
Crossref
Mohamed Jleli & Bessem Samet. (2013) Best proximity point results for MK-proximal contractions on ordered sets. Journal of Fixed Point Theory and Applications 17:2, pages 439-452.
Crossref
Jamal R Roshan, Vahid Parvaneh, Stojan Radenović & Miloje Rajović. (2015) Some coincidence point results for generalized $(\psi,\varphi)$-weakly contractions in ordered b-metric spaces. Fixed Point Theory and Applications 2015:1.
Crossref
Huaping Huang, Stojan Radenović & Jelena Vujaković. (2015) On some recent coincidence and immediate consequences in partially ordered b-metric spaces. Fixed Point Theory and Applications 2015:1.
Crossref
Sumit Chandok, Binayak S. Choudhury & Nikhilesh Metiya. (2015) Fixed point results in ordered metric spaces for rational type expressions with auxiliary functions. Journal of the Egyptian Mathematical Society 23:1, pages 95-101.
Crossref
Elder J. Villamizar-Roa, Vladimir Angulo-Castillo & Yurilev Chalco-Cano. (2015) Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles. Fuzzy Sets and Systems 265, pages 24-38.
Crossref
Deepak Singh, Surjeet Singh Tomar, M.S. Rathore & Varsha Chauhan. (2015) COUPLED FIXED POINT THEOREMS FOR RATIONAL INEQUALITY IN GENERALIZED METRIC SPACES. East Asian mathematical journal 31:1, pages 65-75.
Crossref
Seong-Hoon Cho. (2015) Fixed Point Theorems for Ćirić-Berinde Type Contractive Multivalued Mappings. Abstract and Applied Analysis 2015, pages 1-6.
Crossref
Shahin Fathollahi, Nawab Hussain & Liaqat A Khan. (2014) Fixed point results for modified weak and rational α-ψ-contractions in ordered 2-metric spaces. Fixed Point Theory and Applications 2014:1.
Crossref
Xiaoju He, Meimei Song & Danping Chen. (2014) Common fixed points for weak commutative mappings on a multiplicative metric space. Fixed Point Theory and Applications 2014:1.
Crossref
Qiaoling Xin & Lining Jiang. (2014) Fixed-point theorems for mappings satisfying the ordered contractive condition on noncommutative spaces. Fixed Point Theory and Applications 2014:1.
Crossref
Yongfu Su. (2014) Contraction mapping principle with generalized altering distance function in ordered metric spaces and applications to ordinary differential equations. Fixed Point Theory and Applications 2014:1.
Crossref
Aftab Alam, Abdur Rauf Khan & Mohammad Imdad. (2014) Some coincidence theorems for generalized nonlinear contractions in ordered metric spaces with applications. Fixed Point Theory and Applications 2014:1.
Crossref
Parvaneh Lo’lo’, Seiyed Mansour Vaezpour, Reza Saadati & Choonkil Park. (2014) Existence of a common solution of an integral equations system by "Equation missing" -weakly contractions . Journal of Inequalities and Applications 2014:1.
Crossref
Reza Allahyari, Reza Arab & Ali Shole Haghighi. (2014) A generalization on weak contractions in partially ordered b-metric spaces and its application to quadratic integral equations. Journal of Inequalities and Applications 2014:1.
Crossref
Zead Mustafa, Erdal Karapınar & Hassen Aydi. (2014) A discussion on generalized almost contractions via rational expressions in partially ordered metric spaces. Journal of Inequalities and Applications 2014:1.
Crossref
Nawab Hussain, Muhammad Arshad, Abdullah Shoaib & Fahimuddin. (2014) Common fixed point results for α-ψ-contractions on a metric space endowed with graph. Journal of Inequalities and Applications 2014:1.
Crossref
Francisco Castro-Company, Salvador Romaguera & Pedro Tirado. (2014) A fixed point theorem for preordered complete fuzzy quasi-metric spaces and an application. Journal of Inequalities and Applications 2014:1.
Crossref
Maher Berzig, Sumit Chandok & Mohammad Saeed Khan. (2014) Generalized Krasnoselskii fixed point theorem involving auxiliary functions in bimetric spaces and application to two-point boundary value problem. Applied Mathematics and Computation 248, pages 323-327.
Crossref
Muhammad Arshad, Fahimuddin, Abdullah Shoaib & Aftab Hussain. (2014) Fixed point results for α - ψ -locally graphic contraction in dislocated qusai metric spaces. Mathematical Sciences 8:3, pages 79-85.
Crossref
Anupam Sharma. (2014) Results on n-tupled fixed points in complete asymptotically regular metric spaces. Journal of the Egyptian Mathematical Society 22:3, pages 440-445.
Crossref
Hosoo Lee. (2014) A Coupled Fixed Point Theorem for Mixed Monotone Mappings on Partial Ordered G-Metric Spaces. Kyungpook mathematical journal 54:3, pages 485-500.
Crossref
Hemant Kumar Nashine & Ishak Altun. (2014) New fixed point results for maps satisfying implicit relations on ordered metric spaces and application. Applied Mathematics and Computation 240, pages 259-272.
Crossref
Manish Jain, Neetu Gupta & Sanjay Kumar. (2014) Coupled Fixed Point Theorems for ( )-Contractive Mixed Monotone Mappings in Partially Ordered Metric Spaces and Applications . International Journal of Analysis 2014, pages 1-9.
Crossref
Hajer Argoubi, Bessem Samet & Mihai Turinici. (2014) Fixed point results on a metric space endowed with a finite number of graphs and applications. Czechoslovak Mathematical Journal 64:1, pages 241-250.
Crossref
Hailan Jin & Yongjie Piao. (2014) Fixed Points and Common Fixed Points of Quasi-Contractive Mappings on Partially Ordered-Cone Metric Spaces. Applied Mathematics 05:21, pages 3437-3444.
Crossref
Sumitra Dalal, Muhammad Alamgir Khan & Sunny Chauhan. (2014) -Tupled Coincidence Point Theorems in Partially Ordered Metric Spaces for Compatible Mappings . Abstract and Applied Analysis 2014, pages 1-8.
Crossref
Binghua Jiang, Shaoyuan Xu & Lu Shi. (2014) Coupled Coincidence Points for Mixed Monotone Random Operators in Partially Ordered Metric Spaces. Abstract and Applied Analysis 2014, pages 1-9.
Crossref
Mihai Turinici. (2014) Contractive Maps in Locally Transitive Relational Metric Spaces. The Scientific World Journal 2014, pages 1-10.
Crossref
J.R. Roshan, V. Parvaneh & I. Altun. (2014) Some coincidence point results in ordered -metric spaces and applications in a system of integral equations . Applied Mathematics and Computation 226, pages 725-737.
Crossref
Mihai Turinici. 2014. Topics in Mathematical Analysis and Applications. Topics in Mathematical Analysis and Applications 715 746 .
Mihai Turinici. 2014. Handbook of Functional Equations. Handbook of Functional Equations 419 458 .
Mihai Turinici. 2014. Mathematics Without Boundaries. Mathematics Without Boundaries 533 575 .
Shujun Jiang & Zhilong Li. (2013) Largest and least fixed point theorems of increasing mappings in partially ordered metric spaces. Fixed Point Theory and Applications 2013:1.
Crossref
Feng Gu & Shuhang Zhou. (2013) Coupled common fixed point theorems for a pair of commuting mappings in partially ordered G-metric spaces. Fixed Point Theory and Applications 2013:1.
Crossref
Xiaolan Liu & Siniša Ješić. (2013) Common fixed points of a generalized ordered g-quasicontraction in partially ordered metric spaces. Fixed Point Theory and Applications 2013:1.
Crossref
Hüseyin Işık & Duran Türkoğlu. (2013) Fixed point theorems for weakly contractive mappings in partially ordered metric-like spaces. Fixed Point Theory and Applications 2013:1.
Crossref
Takashi Kamihigashi & John Stachurski. (2013) Simple fixed point results for order-preserving self-maps and applications to nonlinear Markov operators. Fixed Point Theory and Applications 2013:1.
Crossref
Zead Mustafa, Vahid Parvaneh, Mujahid Abbas & Jamal Rezaei Roshan. (2013) Some coincidence point results for generalized "Equation missing" -weakly contractive mappings in ordered G-metric spaces . Fixed Point Theory and Applications 2013:1.
Crossref
Preeti Kaushik, Sanjay Kumar & Poom Kumam. (2013) Coupled coincidence point theorems for α-ψ-contractive type mappings in partially ordered metric spaces. Fixed Point Theory and Applications 2013:1.
Crossref
Ljubomir Ćirić, Saud M Alsulami, Vahid Parvaneh & Jamal Rezaei Roshan. (2013) Some fixed point results in ordered G p -metric spaces. Fixed Point Theory and Applications 2013:1.
Crossref
Syed Abdul Mohiuddine & Abdullah Alotaibi. (2013) Coupled coincidence point theorems for compatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces. Fixed Point Theory and Applications 2013:1.
Crossref
Alireza Amini-Harandi, Majid Fakhar, Hamid Reza Hajisharifi & Nawab Hussain. (2013) Some new results on fixed and best proximity points in preordered metric spaces. Fixed Point Theory and Applications 2013:1.
Crossref
Erdal Karapınar & Ravi P Agarwal. (2013) A note on ‘Coupled fixed point theorems for α-ψ-contractive-type mappings in partially ordered metric spaces’. Fixed Point Theory and Applications 2013:1.
Crossref
Chirasak Mongkolkeha, Yeol Je Cho & Poom Kumam. (2013) Best proximity points for Geraghty’s proximal contraction mappings. Fixed Point Theory and Applications 2013:1.
Crossref
Cristiana Ionescu, Shahram Rezapour & Mohamad Esmaeil Samei. (2013) Fixed points of some new contractions on intuitionistic fuzzy metric spaces. Fixed Point Theory and Applications 2013:1.
Crossref
Jun Wu & Yicheng Liu. (2013) Fixed point theorems for monotone operators and applications to nonlinear elliptic problems. Fixed Point Theory and Applications 2013:1.
Crossref
Chirasak Mongkolkeha, Yeol Je Cho & Poom Kumam. (2013) Best proximity points for generalized proximal C-contraction mappings in metric spaces with partial orders. Journal of Inequalities and Applications 2013:1.
Crossref
Nguyen Van Luong & Nguyen Xuan Thuan. (2013) Coupled points in ordered generalized metric spaces and application to integro-dierential equations. Analele Universitatii "Ovidius" Constanta - Seria Matematica 21:3, pages 155-180.
Crossref
I. Cabrera, J. Harjani & K. Sadarangani. (2013) A fixed point theorem for contractions of rational type in partially ordered metric spaces. ANNALI DELL'UNIVERSITA' DI FERRARA 59:2, pages 251-258.
Crossref
Mujahid Abbas, Talat Nazir & Stojan Radenović. (2013) Common coupled fixed points of generalized contractive mappings in partially ordered metric spaces. Positivity 17:4, pages 1021-1041.
Crossref
Wutiphol Sintunavarat & Poom Kumam. (2013) Coupled fixed point results for nonlinear integral equations. Journal of the Egyptian Mathematical Society 21:3, pages 266-272.
Crossref
T. Dinevari & M. Frigon. (2013) Fixed point results for multivalued contractions on a metric space with a graph. Journal of Mathematical Analysis and Applications 405:2, pages 507-517.
Crossref
Sumit Chandok, Tulsi Dass Narang & Mohamed-Aziz Taoudi. (2013) Some Common Fixed Point Results in Partially Ordered Metric Spaces for Generalized Rational Type Contraction Mappings. Vietnam Journal of Mathematics 41:3, pages 323-331.
Crossref
Salvador Romaguera. (2013) Matkowski's type theorems for generalized contractions on (ordered) partial metric spaces. Applied General Topology 12:2.
Crossref
Hemant Kumar Nashine & Hassen Aydi. (2013) Common fixed points for generalized (v,o)-weak contractions in ordered cone metric spaces. Applied General Topology 13:2.
Crossref
Hemant Kumar Nashine, Zoran Kadelburg & Stojan Radenović. (2013) Common fixed point theorems for weakly isotone increasing mappings in ordered partial metric spaces. Mathematical and Computer Modelling 57:9-10, pages 2355-2365.
Crossref
A. Amini-Harandi. (2013) Coupled and tripled fixed point theory in partially ordered metric spaces with application to initial value problem. Mathematical and Computer Modelling 57:9-10, pages 2343-2348.
Crossref
Mujahid Abbas & Maher Berzig. (2013) Global Attractivity Results on Complete Ordered Metric Spaces for Third-Order Difference Equations. International Journal of Analysis 2013, pages 1-12.
Crossref
Hemant Kumar Nashine, Zoran Kadelburg, R.P. Pathak & Stojan Radenović. (2013) Coincidence and fixed point results in ordered -cone metric spaces . Mathematical and Computer Modelling 57:3-4, pages 701-709.
Crossref
Dragan Ðorić. (2013) Nonlinear coupled coincidence and coupled fixed point theorems for not necessary commutative contractive mappings in partially ordered probabilistic metric spaces. Applied Mathematics and Computation 219:11, pages 5926-5935.
Crossref
Priya Shahi, Jatinderdeep Kaur & S. S. Bhatia. (2013) Quadruple fixed point theorems for nonlinear contractions in partially ordered $G$-metric spaces. Tbilisi Mathematical Journal 6:none.
Crossref
Vahid Parvaneh, Abdolrahman Razani & Jamal Roshan. (2013) Common fixed points of six mappings in partially ordered G-metric spaces. Mathematical Sciences 7:1, pages 18.
Crossref
Poom Kumam, Calogero Vetro & Francesca Vetro. (2013) Fixed Points for Weak - -Contractions in Partial Metric Spaces . Abstract and Applied Analysis 2013, pages 1-9.
Crossref
Maria Samreen, Tayyab Kamran & Naseer Shahzad. (2013) Some Fixed Point Theorems in -Metric Space Endowed with Graph. Abstract and Applied Analysis 2013, pages 1-9.
Crossref
Mohamed Jleli, Erdal Karapınar & Bessem Samet. (2013) Fixed Point Results for - -Contractions on Gauge Spaces and Applications . Abstract and Applied Analysis 2013, pages 1-7.
Crossref
Sirous Moradi, Erdal Karapınar & Hassen Aydi. (2013) Existence of Solutions for a Periodic Boundary Value Problem via Generalized Weakly Contractions. Abstract and Applied Analysis 2013, pages 1-7.
Crossref
Mihai Turinici. (2013) Functional Contractive Maps in Triangular Symmetric Spaces. Journal of Mathematics 2013, pages 1-6.
Crossref
Chalongchai Klanarong & Suthep Suantai. (2013) Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces. Abstract and Applied Analysis 2013, pages 1-7.
Crossref
Poom Kumam, Fayyaz Rouzkard, Mohammad Imdad & Dhananjay Gopal. (2013) Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction. Abstract and Applied Analysis 2013, pages 1-9.
Crossref
R. H. Haghi, Sh. Rezapour & N. Shahzad. (2013) Fixed Points of -Type Quasi-Contractions on Graphs. Abstract and Applied Analysis 2013, pages 1-5.
Crossref
Mohamed Jleli, Erdal Karapinar & Bessem Samet. (2013) On Best Proximity Points under the -Property on Partially Ordered Metric Spaces. Abstract and Applied Analysis 2013, pages 1-6.
Crossref
Jafar Esmaily, S. Mansour Vaezpour & B.E. Rhoades. (2013) Coincidence and common fixed point theorems for a sequence of mappings in ordered metric spaces. Applied Mathematics and Computation 219:10, pages 5684-5692.
Crossref
Jiandong Yin & Ting Guo. (2013) Some fixed point results for a class of g-monotone increasing multi-valued mappings. Arab Journal of Mathematical Sciences 19:1, pages 35-47.
Crossref
Mohamed Jleli & Bessem Samet. (2012) On positive solutions for a class of singular nonlinear fractional differential equations. Boundary Value Problems 2012:1.
Crossref
Hui-Sheng Ding, Lu Li & Stojan Radenović. (2012) Coupled coincidence point theorems for generalized nonlinear contraction in partially ordered metric spaces. Fixed Point Theory and Applications 2012:1.
Crossref
Wasfı Shatanawi & Ahmed Al-Rawashdeh. (2012) Common fıxed points of almost generalized (ψ, ϕ)-contractive mappings in ordered metric spaces. Fixed Point Theory and Applications 2012:1.
Crossref
Madjid Eshaghi Gordji, Maryam Ramezani, Yeol Je Cho & Saeideh Pirbavafa. (2012) A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations. Fixed Point Theory and Applications 2012:1.
Crossref
Ljubomir Ćirić, Boško Damjanović, Mohamed Jleli & Bessem Samet. (2012) Coupled fixed point theorems for generalized Mizoguchi-Takahashi contractions with applications. Fixed Point Theory and Applications 2012:1.
Crossref
Mohammad Mursaleen, Syed Abdul Mohiuddine & Ravi P Agarwal. (2012) Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces. Fixed Point Theory and Applications 2012:1.
Crossref
Zoran Golubović, Zoran Kadelburg & Stojan Radenović. (2012) Common fixed points of ordered g-quasicontractions and weak contractions in ordered metric spaces. Fixed Point Theory and Applications 2012:1.
Crossref
Hemant Kumar Nashine, Zoran Kadelburg, Stojan Radenović & Jong Kyu Kim. (2012) Fixed point theorems under Hardy-Rogers contractive conditions on 0-complete ordered partial metric spaces. Fixed Point Theory and Applications 2012:1.
Crossref
Syed Abdul Mohiuddine & Abdullah Alotaibi. (2012) Some results on a tripled fixed point for nonlinear contractions in partially ordered G-metric spaces. Fixed Point Theory and Applications 2012:1.
Crossref
Cristian Chifu & Gabriela Petruşel. (2012) Generalized contractions in metric spaces endowed with a graph. Fixed Point Theory and Applications 2012:1.
Crossref
Fangfang Yan, Yongfu Su & Qiansheng Feng. (2012) A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations. Fixed Point Theory and Applications 2012:1.
Crossref
Meryam Cherichi & Bessem Samet. (2012) Fixed point theorems on ordered gauge spaces with applications to nonlinear integral equations. Fixed Point Theory and Applications 2012:1.
Crossref
Hassen Aydi, Calogero Vetro, Wutiphol Sintunavarat & Poom Kumam. (2012) Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces. Fixed Point Theory and Applications 2012:1.
Crossref
N Hussain, A Latif & N Shafqat. (2012) Weak contractive inequalities and compatible mixed monotone random operators in ordered metric spaces. Journal of Inequalities and Applications 2012:1.
Crossref
Mohamed Jleli, Vesna Čojbašić Rajić, Bessem Samet & Calogero Vetro. (2012) Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations. Journal of Fixed Point Theory and Applications 12:1-2, pages 175-192.
Crossref
F. Sabetghadam & H.P. Masiha. (2012) Fixed-point results for multi-valued operators in quasi-ordered metric spaces. Applied Mathematics Letters 25:11, pages 1856-1861.
Crossref
Maher Berzig. (2012) Solving a class of matrix equations via the Bhaskar–Lakshmikantham coupled fixed point theorem. Applied Mathematics Letters 25:11, pages 1638-1643.
Crossref
Jafar Esmaily, S. Mansour Vaezpour & B.E. Rhoades. (2012) Coincidence point theorem for generalized weakly contractions in ordered metric spaces. Applied Mathematics and Computation 219:4, pages 1536-1548.
Crossref
Hassen Aydi, Erdal Karapınar & Calogero Vetro. (2012) Meir-Keeler Type Contractions for Tripled Fixed Points. Acta Mathematica Scientia 32:6, pages 2119-2130.
Crossref
Hemant Kumar Nashine & Hassen Aydi. (2012) Common fixed point theorems for four mappings through generalized altering distances in ordered metric spaces. ANNALI DELL'UNIVERSITA' DI FERRARA 58:2, pages 341-358.
Crossref
Vasile Berinde. (2012) Coupled coincidence point theorems for mixed monotone nonlinear operators. Computers & Mathematics with Applications 64:6, pages 1770-1777.
Crossref
V. Ghorbanian, Sh. Rezapour & N. Shahzad. (2012) Some ordered fixed point results and the property (P). Computers & Mathematics with Applications 63:9, pages 1361-1368.
Crossref
Vasile Berinde. (2012) Coupled fixed point theorems for -contractive mixed monotone mappings in partially ordered metric spaces. Nonlinear Analysis: Theory, Methods & Applications 75:6, pages 3218-3228.
Crossref
Wasfi Shatanawi. (2012) Some coincidence point results in cone metric spaces. Mathematical and Computer Modelling 55:7-8, pages 2023-2028.
Crossref
Wasfi Shatanawi. (2012) Some fixed point results for a generalized ψ-weak contraction mappings in orbitally metric spaces. Chaos, Solitons & Fractals 45:4, pages 520-526.
Crossref
Maher Berzig & Bessem Samet. (2012) An extension of coupled fixed point’s concept in higher dimension and applications. Computers & Mathematics with Applications 63:8, pages 1319-1334.
Crossref
Bessem Samet, Calogero Vetro & Pasquale Vetro. (2012) Fixed point theorems for -contractive type mappings. Nonlinear Analysis: Theory, Methods & Applications 75:4, pages 2154-2165.
Crossref
Nguyen Van Luong & Nguyen Xuan Thuan. (2012) Coupled fixed point theorems in partially ordered -metric spaces . Mathematical and Computer Modelling 55:3-4, pages 1601-1609.
Crossref
Wasfi Shatanawi, Bessem Samet & Mujahid Abbas. (2012) Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces. Mathematical and Computer Modelling 55:3-4, pages 680-687.
Crossref
Masood Hussain Shah & Nawab Hussain. (2012) NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED QUASI b-METRIC SPACES. Communications of the Korean Mathematical Society 27:1, pages 117-128.
Crossref
M. Eshaghi Gordji, H. Baghani & G. H. Kim. (2012) A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations. Discrete Dynamics in Nature and Society 2012, pages 1-8.
Crossref
S. A. Mohiuddine & Abdullah Alotaibi. (2012) On Coupled Fixed Point Theorems for Nonlinear Contractions in Partially Ordered -Metric Spaces. Abstract and Applied Analysis 2012, pages 1-15.
Crossref
Winate Sanhan, Chirasak Mongkolkeha & Poom Kumam. (2012) Generalized Proximal -Contraction Mappings and Best Proximity Points . Abstract and Applied Analysis 2012, pages 1-19.
Crossref
Erdal Karapınar & Bessem Samet. (2012) Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications. Abstract and Applied Analysis 2012, pages 1-17.
Crossref
Hassen Aydi, Erdal Karapınar & İnci M. Erhan. (2012) Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions. Abstract and Applied Analysis 2012, pages 1-22.
Crossref
Hemant Kumar Nashine & Hassen Aydi. (2012) Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces. International Journal of Mathematics and Mathematical Sciences 2012, pages 1-23.
Crossref
Ismat Beg & Hemant Kumar Nashine. (2012) End-Point Results for Multivalued Mappings in Partially Ordered Metric Spaces. International Journal of Mathematics and Mathematical Sciences 2012, pages 1-19.
Crossref
Hassen Aydi & Erdal Karapınar. (2012) New Meir-Keeler Type Tripled Fixed-Point Theorems on Ordered Partial Metric Spaces. Mathematical Problems in Engineering 2012, pages 1-17.
Crossref

Displaying 200 of 263 citing articles. Use the download link below to view the full list of citing articles.

Download full citations list

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.