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

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

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.