Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 684304, 14 pages
doi:10.1155/2009/684304
Research Article

Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems

Jian-Wen Peng,1 Yan Wang,1 and Lai-Jun Zhao2

1College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
2Management School, Shanghai University, Shanghai 200444, China

Received 1 July 2009; Revised 19 October 2009; Accepted 18 November 2009

Academic Editor: Nanjing Jing Huang

Copyright © 2009 Jian-Wen Peng 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 study generalized Levitin-Polyak well-posedness of vector equilibrium problems with functional constraints as well as an abstract set constraint. We will introduce several types of generalized Levitin-Polyak well-posedness of vector equilibrium problems and give various criteria and characterizations for these types of generalized Levitin-Polyak well-posedness.