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Journal of Function Spaces and Applications
Volume 2013 (2013), Article ID 267585, 9 pages
http://dx.doi.org/10.1155/2013/267585
Research Article

Ekeland Variational Principle for Generalized Vector Equilibrium Problems with Equivalences and Applications

1College of Applied Science, Beijing University of Technology, Beijing 100124, China
2College of Mathematics, Jilin Normal University, Siping, Jilin 136000, China

Received 2 April 2013; Accepted 12 July 2013

Academic Editor: Yongsheng S. Han

Copyright © 2013 De-ning Qu and Cao-zong Cheng. 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

The aim of this paper is to introduce Ekeland variational principle with variants for generalized vector equilibrium problems and to establish some existence results of solutions of generalized vector equilibrium problems with compact or noncompact domain as applications. Finally, some equivalent results of the established Ekeland variational principle are presented.