Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 190126, 24 pages
doi:10.1155/2010/190126
Research Article

A General Iterative Process for Solving a System of Variational Inclusions in Banach Spaces

Uthai Kamraksa1 and Rabian Wangkeeree1,2

1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
2Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand

Received 6 April 2010; Revised 12 June 2010; Accepted 14 June 2010

Academic Editor: S. Reich

Copyright © 2010 Uthai Kamraksa and Rabian Wangkeeree. 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

The purpose of this paper is to introduce a general iterative method for finding solutions of a general system of variational inclusions with Lipschitzian relaxed cocoercive mappings. Strong convergence theorems are established in strictly convex and 2-uniformly smooth Banach spaces. Moreover, we apply our result to the problem of finding a common fixed point of a countable family of strict pseudo-contraction mappings.