International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 656534, 17 pages
doi:10.1155/2009/656534

Fixed points approximation and solutions of some equilibrium and variational inequalities problems

Abstract

We prove a new strong convergence theorem for an element in the intersection of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of some variational inequality problems, and the set of solutions of some equilibrium problems using a new iterative scheme. Our theorem generalizes and improves some recent results.