Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 842715, 15 pages
Research Article

Kuhn-Tucker Optimality Conditions for Vector Equilibrium Problems

Department of Mathematics, Nanchang University, Nanchang 330031, China

Received 20 January 2010; Accepted 17 April 2010

Academic Editor: Radu Precup

Copyright © 2010 Zhen-Fei Wei and X. H. Gong. 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.


By using the concept of Fréchet differentiability of mapping, we present the Kuhn-Tucker optimality conditions for weakly efficient solution, Henig efficient solution, superefficient solution, and globally efficient solution to the vector equilibrium problems with constraints.