Academic Editor: K. Teo
Copyright © 2011 Ren-You Zhong 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.
This paper is devoted to the characterizations of the boundedness and nonemptiness of
solution sets for set-valued vector equilibrium problems in reflexive Banach spaces, when both the
mapping and the constraint set are perturbed by different parameters. By using the properties of
recession cones, several equivalent characterizations are given for the set-valued vector equilibrium
problems to have nonempty and bounded solution sets. As an application, the stability of solution
set for the set-valued vector equilibrium problem in a reflexive Banach space is also given. The
results presented in this paper generalize and extend some known results in Fan and Zhong (2008), He (2007), and Zhong and Huang (2010).