Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 454181, 23 pages
Research Article

Strong Convergence of a Modified Iterative Algorithm for Mixed-Equilibrium Problems in Hilbert Spaces

Xueliang Gao and Yunrui Guo

Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China

Received 8 July 2008; Accepted 1 August 2008

Academic Editor: Ram U. Verma

Copyright © 2008 Xueliang Gao and Yunrui Guo. 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.


The purpose of this paper is to study the strong convergence of a modified iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a relaxed cocoercive mapping, as well as the set of solutions of a mixed-equilibrium problem. Our results extend recent results of Takahashi and Takahashi (2007), Marino and Xu (2006), Combettes and Hirstoaga (2005), Iiduka and Takahashi (2005), and many others.