Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 182576, 8 pages
doi:10.1155/2010/182576
Research Article

A New Projection Algorithm for Generalized Variational Inequality

Changjie Fang1,2 and Yiran He1

1Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610068, China
2Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 26 October 2009; Accepted 20 December 2009

Academic Editor: Vy Khoi Le

Copyright © 2010 Changjie Fang and Yiran He. 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 new projection algorithm for generalized variational inequality with multivalued mapping. Our method is proven to be globally convergent to a solution of the variational inequality problem, provided that the multivalued mapping is continuous and pseudomonotone with nonempty compact convex values. Preliminary computational experience is also reported.