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.
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