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Applicable Analysis
An International Journal
Volume 46, 1992 - Issue 1-2
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Original Articles

Existence and uniqueness of positive fixed points for mixed monotone operators and applications

Dajun Guo Department of Mathematics, Shandong University, Jinan, P. R. China; Department of Mathematics, University of Alberta, Edmonton, T6G 2G1, Canada
Pages 91-100 | Received 23 Oct 1990, Published online: 10 May 2007

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Ya Ping Fang, Jong Kyu Kim & Nan Jing Huang. (2007) A Mixed Mann Iteration Process for Fixed Points of Mixed Increasing Operators in Ordered Banach Spaces. Numerical Functional Analysis and Optimization 28:1-2, pages 43-51.
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Articles from other publishers (38)

Yujing Liu, Chenguang Yan & Weihua Jiang. (2021) Existence of the Unique Nontrivial Solution for Mixed Fractional Differential Equations. Journal of Function Spaces 2021, pages 1-9.
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Yan Debao. (2021) Existence and Uniqueness of Positive Solutions for a Class of Nonlinear Fractional Differential Equations with Singular Boundary Value Conditions. Mathematical Problems in Engineering 2021, pages 1-11.
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Jinxian Sun, Xing-Bin Pan, Yihong Du, Zhaoli Liu & Zhitao Zhang. (2020) Professor Dajun Guo: a true mathematician and educator. SN Partial Differential Equations and Applications 1:5.
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高峰 邢. (2020) Unique Solutions for a New Class of Multi-Point Boundary Value Problem of Nonlinear Fractional Differential Equations. Advances in Applied Mathematics 09:09, pages 1546-1555.
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István Győri, Ferenc Hartung & Nahed Mohamady. (2018) Permanence in a class of delay differential equations with mixed monotonicity. Electronic Journal of Qualitative Theory of Differential Equations:53, pages 1-21.
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Praveen Agarwal, Mohamed Jleli & Bessem SametPraveen Agarwal, Mohamed Jleli & Bessem Samet. 2018. Fixed Point Theory in Metric Spaces. Fixed Point Theory in Metric Spaces 25 44 .
Dariusz Wardowski. (2016) Mixed monotone operators and their application to integral equations. Journal of Fixed Point Theory and Applications 19:2, pages 1103-1117.
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Mohamed Jleli, Erdal Karapinar & Bessem Samet. 2017. Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness. Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness 441 455 .
Yuqiang Feng & Yuanyuan Wang. (2016) Fixed points of multi-valued monotone operators and the solvability of a fractional integral inclusion. Fixed Point Theory and Applications 2016:1.
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Chen Yang, Chengbo Zhai & Mengru Hao. (2015) Existence and uniqueness of positive periodic solutions for a first-order functional differential equation. Advances in Difference Equations 2015:1.
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Jiandong Yin, Tao Wang & Qi Yan. (2015) Fixed point theorems of ordered contractive mappings on cone metric spaces over Banach algebras. Fixed Point Theory and Applications 2015:1.
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Changchang Bu, Yuqiang Feng & Hui Li. (2014) Existence and uniqueness of fixed point for mixed monotone ternary operators with application. Fixed Point Theory and Applications 2014:1.
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Dezhou Kong, Lishan Liu & Yonghong Wu. (2014) Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices. Fixed Point Theory and Applications 2014:1.
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Chen Yang, Chengbo Zhai & Mengru Hao. (2014) Uniqueness of positive solutions for several classes of sum operator equations and applications. Journal of Inequalities and Applications 2014:1.
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Yanbin Sang. (2013) A class of φ-concave operators and applications. Fixed Point Theory and Applications 2013:1.
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Jun Wu & Yicheng Liu. (2013) Fixed point theorems for monotone operators and applications to nonlinear elliptic problems. Fixed Point Theory and Applications 2013:1.
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Lihong Zhang, Guangxing Song, Guotao Wang & Hongwei Wang. (2013) Some new fixed point theorems for a mixed monotone maps in partially ordered metric spaces. Mathematical Sciences 7:1, pages 31.
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Jieming Zhang, Chen Yang & Chengbo Zhai. (2013) A Mixed Monotone Operator Method for the Existence and Uniqueness of Positive Solutions to Impulsive Caputo Fractional Differential Equations. Discrete Dynamics in Nature and Society 2013, pages 1-8.
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Zhitao ZhangZhitao Zhang. 2013. Variational, Topological, and Partial Order Methods with Their Applications. Variational, Topological, and Partial Order Methods with Their Applications 35 97 .
Abdulkadir Dogan, John R. Graef & Lingju Kong. (2011) Higher-order singular multi-point boundary-value problems on time scales. Proceedings of the Edinburgh Mathematical Society 54:2, pages 345-361.
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J. Harjani, B. López & K. Sadarangani. (2011) Fixed point theorems for mixed monotone operators and applications to integral equations. Nonlinear Analysis: Theory, Methods & Applications 74:5, pages 1749-1760.
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Zengqin Zhao. (2010) Existence and uniqueness of fixed points for some mixed monotone operators. Nonlinear Analysis: Theory, Methods & Applications 73:6, pages 1481-1490.
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Cheng-Bo Zhai, Chen Yang & Xiao-Qin Zhang. (2009) Positive solutions for nonlinear operator equations and several classes of applications. Mathematische Zeitschrift 266:1, pages 43-63.
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Lingju Kong. (2010) Second order singular boundary value problems with integral boundary conditions. Nonlinear Analysis: Theory, Methods & Applications 72:5, pages 2628-2638.
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Shuqin Zhang. (2010) Positive solutions to singular boundary value problem for nonlinear fractional differential equation. Computers & Mathematics with Applications 59:3, pages 1300-1309.
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Zhitao Zhang & Kelei Wang. (2009) On fixed point theorems of mixed monotone operators and applications. Nonlinear Analysis: Theory, Methods & Applications 70:9, pages 3279-3284.
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Xuefeng Duan, Anping Liao & Bin Tang. (2008) On the nonlinear matrix equation . Linear Algebra and its Applications 429:1, pages 110-121.
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Yuexiang Wu. (2008) New fixed point theorems and applications of mixed monotone operator. Journal of Mathematical Analysis and Applications 341:2, pages 883-893.
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Meiyu Zhang. (2008) Fixed point theorems of ϕ convex −ψ concave mixed monotone operators and applications. Journal of Mathematical Analysis and Applications 339:2, pages 970-981.
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Xiuguo Lian & Yongjin Li. (2007) Fixed point theorems for a class of mixed monotone operators with applications. Nonlinear Analysis: Theory, Methods & Applications 67:9, pages 2752-2762.
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Yuexiang Wu & Zhandong Liang. (2006) Existence and uniqueness of fixed points for mixed monotone operators with applications. Nonlinear Analysis: Theory, Methods & Applications 65:10, pages 1913-1924.
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Ke Li, Jin Liang & Ti-Jun Xiao. (2005) Positive fixed points for nonlinear operators. Computers & Mathematics with Applications 50:10-12, pages 1569-1578.
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Shaoyuan Xu & Baoguo Jia. (2004) Fixed-point theorems of φ concave-(−ψ) convex mixed monotone operators and applications. Journal of Mathematical Analysis and Applications 295:2, pages 645-657.
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Guangxing Song. (2003) ITERATIVE SOLUTIONS FOR SYSTEMS OF NONLINEAR OPERATOR EQUATIONS IN BANACH SPACE. Acta Mathematica Scientia 23:4, pages 461-466.
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Alvise Sommariva & Marco Vianello. (2000) Computing Positive Fixed-Points of Decreasing Hammerstein Operators by Relaxed Iterations. Journal of Integral Equations and Applications 12:1.
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A. Sommariva, M. Vianello & E. Facchinello. 2000. Applied and Industrial Mathematics, Venice—2, 1998. Applied and Industrial Mathematics, Venice—2, 1998 273 285 .
Shen Peilong. (1998) On the existence and uniqueness theorems of solutions for a class of the systems of mixed monotone operator equations with application. Applied Mathematics-A Journal of Chinese Universities 13:3, pages 289-294.
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Dajun Guo. 1996. Functional Analysis in China. Functional Analysis in China 53 70 .

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