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