Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 581849, 15 pages
Research Article

Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems

Bin Chen, Xun-Hua Gong, and Shu-Min Yuan

Department of Mathematics, Nanchang University, Nanchang 330047, China

Received 1 November 2007; Revised 17 July 2008; Accepted 5 September 2008

Academic Editor: C. E. Chidume

Copyright © 2008 Bin Chen et al. 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.


We study the set-valued vector equilibrium problems and the set-valued vector Hartman-Stampacchia variational inequalities. We prove the existence of solutions of the two problems. In addition, we prove the connectedness and the compactness of solutions of the two problems in normed linear space.