Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 264628, 13 pages
Research Article

Hybrid Viscosity Iterative Method for Fixed Point, Variational Inequality and Equilibrium Problems

College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China

Received 27 December 2009; Revised 3 May 2010; Accepted 1 June 2010

Academic Editor: Simeon Reich

Copyright © 2010 Yi-An Chen and Yi-Ping Zhang. 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 iterative method for finding a common element of the solution set of an equilibrium problem, the solution set of the variational inequality, and the fixed points set of infinitely many nonexpansive mappings in a Hilbert space. Then we prove our main result under some suitable conditions.