Hybrid Methods for Equilibrium Problems and Fixed Points Problems of a Countable Family of Relatively Nonexpansive Mappings in Banach Spaces

Fixexd point theory and applications

Wanna Sriprad¹  Somyot Plubtieng¹ 

[1] Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand

关键词: Banach Space;    Equilibrium Problem;    Projection Method;    Nonexpansive Mapping;    Lower Semicontinuous;   

DOI  :  10.1155/2010/962628

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to introduce hybrid projection algorithms for finding a common element of the set of common fixed points of a countable family of relatively nonexpansive mappings and the set of solutions of an equilibrium problem in the framework of Banach spaces. Moreover, we apply our result to the problem of finding a common element of an equilibrium problem and the problem of finding a zero of a maximal monotone operator. Our result improve and extend the corresponding results announced by Takahashi and Zembayashi (2008 and 2009), and many others.

【 授权许可】

CC BY