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

Fixed Points Approximation and Solutions of Some Equilibrium and Variational Inequalities Problems

Bashir Ali1,2

1Mathematics Stream, African University of Science and Technology, Abuja, Nigeria
2Department of Mathematical Sciences, Bayero University, Kano, P.M.B. 3011, Nigeria

Received 28 September 2009; Accepted 16 December 2009

Academic Editor: Asao Arai

Copyright © 2009 Bashir Ali. 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.

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.