Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 383740, 19 pages
doi:10.1155/2010/383740
Research Article

A Hybrid Projection Algorithm for Finding Solutions of Mixed Equilibrium Problem and Variational Inequality Problem

Filomena Cianciaruso,1 Giuseppe Marino,1 Luigi Muglia,1 and Yonghong Yao2

1Dipartimento di Matematica, Universitá della Calabria, 87036 Arcavacata di Rende (CS), Italy
2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China

Received 3 June 2009; Accepted 16 September 2009

Academic Editor: Mohamed A. Khamsi

Copyright © 2010 Filomena Cianciaruso 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 propose a modified hybrid projection algorithm to approximate a common fixed point of a k-strict pseudocontraction and of two sequences of nonexpansive mappings. We prove a strong convergence theorem of the proposed method and we obtain, as a particular case, approximation of solutions of systems of two equilibrium problems.