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

被引：13

作者：

Zhu, Jin-hua ^{[1
]}

Chang, Shih-sen ^{[2
]}

机构：

[1] Yibin Univ, Inst Math, Yibin 644007, Sichuan, Peoples R China

[2] Yunnan Univ Finance & Econ, Coll Stat & Math, Kunming 650221, Yunnan, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

Bregman strongly nonexpansive mapping; Bregman projection; Legendre function; totally convex function; Halpern's iteration; Mann's iteration; FIXED-POINTS; STRONG-CONVERGENCE; APPROXIMATION; CONVEXITY; EXISTENCE;

D O I：

10.1186/1029-242X-2013-146

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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

页数：14

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