Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 895907, 23 pages
doi:10.1155/2010/895907
Research Article

An Algorithm for Finding a Common Solution for a System of Mixed Equilibrium Problem, Quasivariational Inclusion Problem, and Fixed Point Problem of Nonexpansive Semigroup

M. Liu, S. S. Chang, and P. Zuo

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

Received 31 March 2010; Accepted 8 June 2010

Academic Editor: Vy Khoi Le

Copyright © 2010 M. Liu et al. 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 a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed point for nonexpansive semigroup, and the set of solutions of the quasi-variational inclusion problem with multivalued maximal monotone mappings and inverse-strongly monotone mappings in Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend some recent results announced by some authors.