Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 984074, 16 pages
doi:10.1155/2010/984074
Research Article

Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints

J. Zhang,1 B. Jiang,2 and X. X. Huang3

1School of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2Department of Systems Engineering and Engineering Management, The Chinese University of Hong Kong, Shatin, Hong Kong
3School of Economics and Business Administration, Chongqing University, Chongqing 400030, China

Received 17 March 2010; Accepted 6 July 2010

Academic Editor: Lai Jiu Lin

Copyright © 2010 J. Zhang 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 introduce several types of Levtin-Polyak well-posedness for a vector quasivariational inequality with functional constraints. Necessary and/or sufficient conditions are derived for them.