Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 915629, 17 pages
Research Article

Iterative Algorithms for Finding Common Solutions to Variational Inclusion Equilibrium and Fixed Point Problems

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China

Received 30 October 2010; Accepted 9 November 2010

Academic Editor: Qamrul Hasan Ansari

Copyright © 2011 J. F. Tan and S. S. Chang. 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.


The main purpose of this paper is to introduce an explicit iterative algorithm to study the existence problem and the approximation problem of solution to the quadratic minimization problem. Under suitable conditions, some strong convergence theorems for a family of nonexpansive mappings are proved. The results presented in the paper improve and extend the corresponding results announced by some authors.