Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 189036, 14 pages
doi:10.1155/2010/189036
Research Article

Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems with Applications

Yan Hao,1 Sun Young Cho,2 and Xiaolong Qin3

1School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, China
2Department of Mathematics, Gyeongsang National University, Jinju 660-701, South Korea
3Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China

Received 2 October 2009; Accepted 23 January 2010

Academic Editor: Jong Kim

Copyright © 2010 Yan Hao 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 work is to introduce an iterative method for finding a common element of a solution set of a generalized equilibrium problem, of a solution set solutions of a variational inequality problem and of a fixed point set of a strict pseudocontraction. Strong convergence theorems are established in the framework of Hilbert spaces.