Open Access

Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems

Fixed Point Theory and Applications20092009:684304

https://doi.org/10.1155/2009/684304

Received: 1 July 2009

Accepted: 18 November 2009

Published: 22 November 2009

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.

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Authors’ Affiliations

(1)
College of Mathematics and Computer Science, Chongqing Normal University
(2)
Management School, Shanghai University

Copyright

© Jian-Wen Peng et al. 2009

This article is published under license to BioMed Central Ltd. 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.