Strong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applications

被引：0

作者：

Jin-hua Zhu

Shih-sen Chang

Min Liu

机构：

[1] Yibin University,Department of Mathematics

[2] Yunnan University of Finance and Economics,College of Statistics and Mathematics

来源：

Journal of Inequalities and Applications | / 2012卷

关键词：

multi-valued mapping; relatively nonexpansive; fixed point; iterative sequence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, an iterative sequence for relatively nonexpansive multi-valued mapping by modifying Halpern and Mann's iterations is introduced, and then some strong convergence theorems are proved. At the end of the article some applications are given also.

引用

共 50 条

[1] Strong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applications
Zhu, Jin-hua
Chang, Shih-sen
Liu, Min
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[2] Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
Nilsrakoo, Weerayuth
Saejung, Satit
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (14) : 6577 - 6586
[3] Strong convergence theorems for modifying Halpern-Mann iterations for a quasi-ϕ-asymptotically nonexpansive multi-valued mapping in Banach spaces
Yi Li
Hong Bo Liu
[J]. Fixed Point Theory and Applications, 2013
[4] Strong convergence theorems for modifying Halpern-Mann iterations for a quasi-I•-asymptotically nonexpansive multi-valued mapping in Banach spaces
Li, Yi
Liu, Hong Bo
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[5] Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces
Simin Homaeipour
Abdolrahman Razani
[J]. Fixed Point Theory and Applications, 2011
[6] Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces
Homaeipour, Simin
Razani, Abdolrahman
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[7] Halpern-Mann’s iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications
Jin-hua Zhu
Shih-sen Chang
[J]. Journal of Inequalities and Applications, 2013 (1)
[8] Halpern-Mann's iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications
Zhu, Jin-hua
Chang, Shih-sen
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[9] CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS AND RELATIVELY NONEXPANSIVE MULTI-VALUED MAPPINGS IN BANACH SPACES
Homaeipour, S.
Razani, A.
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (12) : 1386 - 1398
[10] Strong convergence theorems of the Halpern-Mann's mixed iteration for a totally quasi-φ-asymptotically nonexpansive nonself multi-valued mapping in Banach spaces
Bo, Liu Hong
Yi, Li
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

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