Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 381218, 19 pages
doi:10.1155/2011/381218
Research Article

Existence and Stability of Solutions for Implicit Multivalued Vector Equilibrium Problems

Sanhua Wang1 and Qiuying Li2

1Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, China
2College of Science and Technology, Nanchang University, Nanchang, Jiangxi 330029, China

Received 31 October 2010; Accepted 14 January 2011

Academic Editor: M. Furi

Copyright © 2011 Sanhua Wang and Qiuying Li. 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

A class of implicit multivalued vector equilibrium problems is studied. By using the generalized Fan-Browder fixed point theorem, some existence results of solutions for the implicit multivalued vector equilibrium problems are obtained under some suitable assumptions. Moreover, a stability result of solutions for the implicit multivalued vector equilibrium problems is derived. These results extend and unify some recent results for implicit vector equilibrium problems, multivalued vector variational inequality problems, and vector variational inequality problems.