Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 79, 2002 - Issue 3
Submit an article Journal homepage
76
Views
28
CrossRef citations to date
0
Altmetric
Original Articles

Implicit Midpoint Rule to the Nonlinear Degenerate Boundary Value Problems

S. Somali Faculty of Arts and Sciences, Department of Mathematics, Dokuz Eylül University, Kaynaklar, Buca, Izmir, 35160, Turkiye
Pages 327-332 | Published online: 15 Sep 2010

Citations (28)

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 (3)

Yanlai Song & Yonggang Pei. (2021) A new viscosity semi-implicit midpoint rule for strict pseudo-contractions and (α, β)-generalized hybrid mappings. Optimization 70:12, pages 2635-2653.
Read now
Qiao-Li Dong & Gang Cai. (2021) Convergence analysis for fixed point problem of asymptotically nonexpansive mappings and variational inequality problem in Hilbert spaces. Optimization 70:5-6, pages 1171-1193.
Read now
Qian Yan & Gang Cai. (2018) Strong Convergence Theorems for the Generalized Viscosity Implicit Rules of Asymptotically Nonexpansive Mappings in the Intermediate Sense in Hilbert Spaces. Numerical Functional Analysis and Optimization 39:13, pages 1351-1373.
Read now

Articles from other publishers (25)

K. O. Aremu, C. Izuchukwu, G. N. Ogwo & O. T. Mewomo. (2023) A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces. Afrika Matematika 34:2.
Crossref
Linqi Sun, Hongwen Xu & Yan Ma. (2023) A New Viscosity Implicit Approximation Method for Solving Variational Inequalities over the Common Fixed Points of Nonexpansive Mappings in Symmetric Hilbert Space. Symmetry 15:5, pages 1098.
Crossref
Maryam Yazdi & Saeed Hashemi Sababe. (2022) A Viscosity Approximation Method for Solving General System of Variational Inequalities, Generalized Mixed Equilibrium Problems and Fixed Point Problems. Symmetry 14:8, pages 1507.
Crossref
R. Pant, C. C. Okeke & C. Izuchukwu. (2020) Modified viscosity implicit rules for proximal split feasibility and fixed point problems. Journal of Applied Mathematics and Computing 64:1-2, pages 355-378.
Crossref
H. Fukhar-ud-din & A.R. Khan. (2019) The implicit midpoint rule for nonexpansive mappings in 2-uniformly convex hyperbolic spaces. Arab Journal of Mathematical Sciences 26:1/2, pages 95-105.
Crossref
Hamid Reza SAHEBİ, Mahdi CHERAGHİ & Masume CHERAGHİ. (2020) A Generalized Nonlinear Iterative Algorithm for the Explicit Midpoint Rule of Nonexpansive Semigroup. Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, pages 613-628.
Crossref
Anil K. Shukla, Rajesh K. Pandey, Swati Yadav & Ram Bilas Pachori. (2019) Generalized Fractional Filter-Based Algorithm for Image Denoising. Circuits, Systems, and Signal Processing 39:1, pages 363-390.
Crossref
Gang Cai, Yekini Shehu & Olaniyi Samuel Iyiola. (2019) The modified viscosity implicit rules for variational inequality problems and fixed point problems of nonexpansive mappings in Hilbert spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 113:4, pages 3545-3562.
Crossref
Mihai Postolache, Ashish Nandal & Renu Chugh. (2019) Strong Convergence of a New Generalized Viscosity Implicit Rule and Some Applications in Hilbert Space. Mathematics 7:9, pages 773.
Crossref
Huancheng Zhang, Yunhua Qu & Yongfu Su. (2019) The Generalized Viscosity Implicit Midpoint Rule for Nonexpansive Mappings in Banach Space. Mathematics 7:6, pages 512.
Crossref
Shrijana Dhakal & Wutiphol Sintunavarat. (2019) The viscosity method for the implicit double midpoint rule with numerical results and its applications. Computational and Applied Mathematics 38:2.
Crossref
Chanjuan Pan & Yuanheng Wang. (2019) Generalized Viscosity Implicit Iterative Process for Asymptotically Non-Expansive Mappings in Banach Spaces. Mathematics 7:5, pages 379.
Crossref
Teng-fei Li & Heng-you Lan. (2019) On New Picard-Mann Iterative Approximations with Mixed Errors for Implicit Midpoint Rule and Applications. Journal of Function Spaces 2019, pages 1-13.
Crossref
Pongsakorn Sunthrayuth, Nuttapol Pakkaranang, Poom Kumam, Phatiphat Thounthong & Prasit Cholamjiak. (2019) Convergence Theorems for Generalized Viscosity Explicit Methods for Nonexpansive Mappings in Banach Spaces and Some Applications. Mathematics 7:2, pages 161.
Crossref
Wongvisarut Khuangsatung & Pongsakorn Sunthrayuth. (2018) The generalized viscosity explicit rules for a family of strictly pseudo-contractive mappings in a q-uniformly smooth Banach space. Journal of Inequalities and Applications 2018:1.
Crossref
Huancheng Zhang, Yunhua Qu & Yongfu Su. (2018) Strong Convergence Theorems for Fixed Point Problems for Nonexpansive Mappings and Zero Point Problems for Accretive Operators Using Viscosity Implicit Midpoint Rules in Banach Spaces. Mathematics 6:11, pages 257.
Crossref
Qian Yan & Gang Cai. (2017) Convergence analysis of modified viscosity implicit rules of asymptotically nonexpansive mappings in Hilbert spaces. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 112:4, pages 1125-1140.
Crossref
Gang Cai, Yekini Shehu & Olaniyi Samuel Iyiola. (2017) Strong convergence results for variational inequalities and fixed point problems using modified viscosity implicit rules. Numerical Algorithms 77:2, pages 535-558.
Crossref
Ping Luo, Gang Cai & Yekini Shehu. (2017) The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces. Journal of Inequalities and Applications 2017:1.
Crossref
Gang Cai, Yekini Shehu & Olaniyi Samuel Iyiola. (2017) Modified viscosity implicit rules for nonexpansive mappings in Hilbert spaces. Journal of Fixed Point Theory and Applications 19:4, pages 2831-2846.
Crossref
Hong-Kun Xu, Maryam A Alghamdi & Naseer Shahzad. (2015) Ergodicity of the implicit midpoint rule for nonexpansive mappings. Journal of Inequalities and Applications 2015:1.
Crossref
Yonghong Yao, Naseer Shahzad & Yeong-Cheng Liou. (2015) Modified semi-implicit midpoint rule for nonexpansive mappings. Fixed Point Theory and Applications 2015:1.
Crossref
Hong-Kun Xu, Maryam A Alghamdi & Naseer Shahzad. (2015) The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces. Fixed Point Theory and Applications 2015:1.
Crossref
Maryam A Alghamdi, Mohammad Ali Alghamdi, Naseer Shahzad & Hong-Kun Xu. (2014) The implicit midpoint rule for nonexpansive mappings. Fixed Point Theory and Applications 2014:1.
Crossref
S. Somali & V. Oger. (2005) Improvement of eigenvalues of Sturm–Liouville problem with -periodic boundary conditions . Journal of Computational and Applied Mathematics 180:2, pages 433-441.
Crossref

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.