Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 684304, 14 pages
doi:10.1155/2009/684304
Generalized Levitin-Polyak well-posedness of vector equilibrium problems
Jian-Wen Peng1
, Yan Wang1
and Lai-Jun Zhao3
1College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
3Management School, Shanghai University, Shanghai 200444, China
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.