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.
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收藏
页数：14
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