International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 491357, 13 pages
doi:10.1155/2010/491357
Research Article

Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

Jian-Wen Peng1 and Yan Wang2

1College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
2Division of Mathematics, Yibin No. 3 Middle School, Yibin, Sichuan 644000, China

Received 21 August 2009; Revised 1 December 2009; Accepted 13 January 2010

Academic Editor: Petru Jebelean

Copyright © 2010 Jian-Wen Peng and Yan Wang. 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 an Ishikawa iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert space. Then, we prove some strong convergence theorems which extend and generalize S. Takahashi and W. Takahashi's results (2007).