Abstract and Applied Analysis
Volume 2011 (2011), Article ID 976412, 25 pages
http://dx.doi.org/10.1155/2011/976412
Research Article

A General Composite Algorithms for Solving General Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

Rattanaporn Wangkeeree, Uthai Kamraksa, and Rabian Wangkeeree

Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Received 31 October 2010; Revised 8 February 2011; Accepted 8 March 2011

Academic Editor: Yuming Shi

Copyright © 2011 Rattanaporn Wangkeeree 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 a general composite algorithm for finding a common element of the set of solutions of a general equilibrium problem and the common fixed point set of a finite family of asymptotically nonexpansive mappings in the framework of Hilbert spaces. Strong convergence of such iterative scheme is obtained which solving some variational inequalities for a strongly monotone and strictly pseudocontractive mapping. Our results extend the corresponding recent results of Yao and Liou (2010).