Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 182539, 11 pages
doi:10.1155/2010/182539
Research Article

Existence of Solutions and Algorithm for a System of Variational Inequalities

Yali Zhao,1 Zunquan Xia,2 Liping Pang,2 and Liwei Zhang2

1Department of Mathematics, Bohai University, Jinzhou, Liaoning 121013, China
2Department of Applied Mathematics, Dalian University of Technology, Dalian, Liaoning 116024, China

Received 13 May 2009; Revised 10 November 2009; Accepted 24 January 2010

Academic Editor: Nanjing Huang

Copyright © 2010 Yali Zhao 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 obtain some existence results for a system of variational inequalities (for short, denoted by SVI) by Brouwer fixed point theorem. We also establish the existence and uniqueness theorem using the projection technique for the SVI and suggest an iterative algorithm and analysis convergence of the algorithm.