Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 620284, 17 pages
doi:10.1155/2011/620284
Research Article

Iterative Methods for Variational Inequalities over the Intersection of the Fixed Points Set of a Nonexpansive Semigroup in Banach Spaces

Issa Mohamadi

Department of Mathematics, Islamic Azad University, Sanandaj Branch, Sanandaj 418, Kurdistan, Iran

Received 8 November 2010; Accepted 19 November 2010

Academic Editor: Qamrul Hasan Ansari

Copyright © 2011 Issa Mohamadi. 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

This paper presents a framework of iterative methods for finding specific common fixed points of a nonexpansive self-mappings semigroup in a Banach space. We prove, with appropriate conditions, the strong convergence to the solution of some variational inequalities.