Halpern-Mann’s iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications

被引：0

作者：

Jin-hua Zhu

Shih-sen Chang

机构：

[1] Yibin University,Institute of Mathematics

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

来源：

Journal of Inequalities and Applications | / 2013卷 / 1期

关键词：

Bregman strongly nonexpansive mapping; Bregman projection; Legendre function; totally convex function; Halpern’s iteration; Mann’s iteration;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate strong convergence for Bregman strongly nonexpansive mappings by modifying Halpern and Mann’s iterations in the framework of a reflexive Banach space. As applications, we apply our main result to problems of finding zeros of maximal monotone operators and equilibrium problems in reflexive Banach spaces.

引用

共 50 条

[1] 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,
[2] Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
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[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (04) : 489 - 499
[3] Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
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[5] Strong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applications
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[8] Convergence Theorems for Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces
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[9] Halpern-type iterations for strongly relatively nonexpansive mappings in Banach spaces
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[10] Halpern's Iteration for Bregman Relatively Nonexpansive Mappings in Banach Spaces
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