International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 614276, 8 pages
doi:10.1155/2010/614276
Research Article

The Penalty Method for a New System of Generalized Variational Inequalities

Yu-Chao Tang and Li-Wei Liu

Department of Mathematics, NanChang University, Nanchang 330031, China

Received 20 July 2009; Accepted 3 March 2010

Academic Editor: Raül E. Curto

Copyright © 2010 Yu-Chao Tang and Li-Wei Liu. 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 consider a new system of generalized variational inequalities (SGVI). Using the penalty methods, we prove the existence of solution of SGVI in Hilbert spaces. Our results extend and improve some known results.