A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings

Fixexd point theory and applications

YeolJe Cho¹  Xiaolong Qin²  Shenghua Wang³ 

[1] Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju, Republic of Korea;Department of Mathematics, Hangzhou Normal University, Hangzhou, China;School of Mathematics and Physics, North China Electric Power University, Baoding, China

关键词: Hilbert Space;    Variational Inequality;    Convex Subset;    Equilibrium Problem;    Nonexpansive Mapping;   

DOI  :  10.1155/2010/165098

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of nonexpansive mappings in a Hilbert space. As an application, we solve a multiobjective optimization problem using the result of this paper.

【 授权许可】

CC BY