Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings

ShinMin Kang; SunYoung Cho; Zeqing Liu

doi:10.1155/2010/827082

Research Article
Open Access

Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings

ShinMin Kang¹,
SunYoung Cho²Email author and
Zeqing Liu³

Journal of Inequalities and Applications20102010:827082

https://doi.org/10.1155/2010/827082

Received: 11 December 2009
Accepted: 25 January 2010
Published: 2 February 2010

Abstract

The purpose of this paper is to consider the weak convergence of an iterative sequence for finding a common element in the set of solutions of generalized equilibrium problems, in the set of solutions of classical variational inequalities, and in the set of fixed points of nonexpansive mappings.

Keywords

Variational Inequality
Equilibrium Problem
Weak Convergence
Monotone Mapping
Generalize Equilibrium

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Authors’ Affiliations

(1)

Department of Mathematics and the RINS, Gyeongsang National University, Jinju, 660-701, South Korea

(2)

Department of Mathematics, Gyeongsang National University, Jinju, 660-701, South Korea

(3)

Department of Mathematics, Liaoning Normal University, Dalian, Liaoning, 116029, China

Copyright

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.