Copyright © 2009 HongYu Li and HongZhi Li. 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 method for finding a common element of the set of solutions of equilibrium problems, the set of
solutions of variational inequality problems, and the set of fixed points of
finite many nonexpansive mappings. We prove strong convergence of the iterative sequence generated by the proposed iterative algorithm to the unique
solution of a variational inequality, which is the optimality condition for the