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

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.

Bibliographic Details
Main Authors: Shu-Min Yuan, Xun-Hua Gong, Bin Chen
Format: Article
Language:English
Published: SpringerOpen 2008-12-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/581849