Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 69252, 12 pages
doi:10.1155/JIA/2006/69252

Generalized vector quasi-equilibrium problems with set-valued mappings

Jian Wen Peng1,2 and Dao Li Zhu1

 1Department of Management Science, School of Management, Fudan University, Shanghai 200433, China
2College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
Received 26 October 2005; Revised 5 March 2006; Accepted 12 April 2006

Abstract

A new mathematical model of generalized vector quasiequilibrium problem with set-valued mappings is introduced, and several existence results of a solution for the generalized vector quasiequilibrium problem with and without Φ-condensing mapping are shown. The results in this paper extend and unify those results in the literature.