Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 617185, 16 pages
doi:10.1155/2009/617185
Research Article

Generalized Vector Complementarity Problems with Moving Cones

Lu-Chuan Ceng1 and Yen-Cherng Lin2

1Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
2Department of Occupational Safety and Health, China Medical University, Taichung 404, Taiwan

Received 3 October 2009; Accepted 30 November 2009

Academic Editor: Charles E. Chidume

Copyright © 2009 Lu-Chuan Ceng and Yen-Cherng Lin. 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 introduce and discuss a class of generalized vector complementarity problems with moving cones. We discuss the existence results for the generalized vector complementarity problem under inclusive type condition. We obtain equivalence results between the generalized vector complementarity problem, the generalized vector variational inequality problem, and other related problems. The theorems presented here improve, extend, and develop some earlier and very recent results in the literature.