International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 683584, 23 pages
doi:10.1155/2010/683584
Research Article

An Iterative Method for Solving the Generalized System of Relaxed Cocoercive Quasivariational Inclusions and Fixed Point Problems of an Infinite Family of Strictly Pseudocontractive Mappings

Pattanapong Tianchai1 and Rabian Wangkeeree2

1Faculty of Science, Maejo University, Chiangmai 50290, Thailand
2Department of Mathematics, Faculty of Science, Naresuan University, Phisanulok 65000, Thailand

Received 7 April 2010; Revised 27 July 2010; Accepted 18 September 2010

Academic Editor: Martin Bohner

Copyright © 2010 Pattanapong Tianchai 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

We introduce an iterative scheme by the viscosity approximation to find the set of solutions of the generalized system of relaxed cocoercive quasivariational inclusions and the set of common fixed points of an infinite family of strictly pseudocontractive mappings problems in Hilbert spaces. We suggest and analyze an iterative scheme under some appropriate conditions imposed on the parameters; we prove that another strong convergence theorem for the above two sets is obtained. The results presented in this paper improve and extend the main results of Li and Wu (2010) and many others.