Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 714939, 15 pages
Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings
1Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
2College of Business and Management, Sichuan University, Chengdu, Sichuan 610064, China
Received 17 July 2008; Accepted 11 November 2008
Academic Editor: Wataru Takahashi
Copyright © 2008 Wei-You Zeng 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.
We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of common solutions for generalized mixed equilibrium problems and the set of common fixed points of a sequence of nonexpansive mappings in Hilbert spaces. We show a strong convergence theorem under some suitable conditions.