Journal of Applied Mathematics
Volume 2012 (2012), Article ID 674512, 13 pages
http://dx.doi.org/10.1155/2012/674512
Research Article

Existence and Duality of Generalized ε-Vector Equilibrium Problems

Hong-Yong Fu, Bin Dan, and Xiang-Yu Liu

School of Economics and Business Administration, Chongqing University, Chongqing 400030, China

Received 15 November 2011; Revised 29 January 2012; Accepted 2 February 2012

Academic Editor: Said Abbasbandy

Copyright © 2012 Hong-Yong Fu 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.

Abstract

We consider a generalized ε-vector equilibrium problem which contain vector equilibrium problems and vector variational inequalities as special cases. By using the KKM theorem, we obtain some existence theorems for the generalized ε-vector equilibrium problem. We also investigate the duality of this generalized ε-vector equilibrium problem and discuss the equivalence relation between solutions of primal and dual problems.