Convergence Theorems for Equilibrium and Fixed Point Problems

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• 作者：Yekini Shehu
• 关键词：Left Bregman strongly relatively nonexpansive mapping ; Left Bregman projection ; Equilibrium problem ; Banach spaces ; 47H06 ; 47H09 ; 47J05 ; 47J25
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：39
• 期：1
• 页码：133-153
• 全文大小：542 KB
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• 作者单位：Yekini Shehu (1)
  
  1. Department of Mathematics, University of Nigeria, Nsukka, Nigeria
  
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206

文摘

Our purpose in this paper is to prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in the framework of reflexive real Banach spaces. We also discuss the approximation of a common fixed point of a family of left Bregman strongly nonexpansive mappings which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature. Keywords Left Bregman strongly relatively nonexpansive mapping Left Bregman projection Equilibrium problem Banach spaces