Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 474813, 11 pages
doi:10.1155/2010/474813
Research Article

Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

Rudong Chen,1 Xilin Shen,2 and Shujun Cui1

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Mathematics, Xinxiang College, Xinxiang, Henan 453002, China

Received 27 August 2009; Accepted 10 January 2010

Academic Editor: Jong Kim

Copyright © 2010 Rudong Chen 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

We introduce two iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of strict pseudocontractions in Hilbert Space. Then we study the weak and strong convergence of the sequences.