Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 827082, 16 pages
doi:10.1155/2010/827082
Research Article

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

Shin Min Kang,1 Sun Young Cho,2 and Zeqing Liu3

1Department of Mathematics and the RINS, Gyeongsang National University, Jinju 660-701, South Korea
2Department of Mathematics, Gyeongsang National University, Jinju 660-701, South Korea
3Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, China

Received 11 December 2009; Accepted 25 January 2010

Academic Editor: Yeol Je Cho

Copyright © 2010 Shin Min Kang et al. 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.

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.