Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 69252, 12 pages

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

Copyright © 2006 Jian Wen Peng and Dao Li Zhu. 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.


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.