Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems with functional constraints

Authors:
Jian-Wen Peng;Soon-Yi Wu;Yan Wang
Affiliations:
College of Mathematics and Computer Science, Chongqing Normal University, Chongqing, People's Republic of China 400047;Department of Mathematics, National Cheng Kung University, Tainan, Taiwan 701;College of Mathematics and Computer Science, Chongqing Normal University, Chongqing, People's Republic of China 400047
Venue:
Journal of Global Optimization
Year:
2012

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Abstract

In this paper, we introduce several types of Levitin-Polyak well-posedness for a generalized vector quasi-equilibrium problem with functional constraints and abstract set constraints. Criteria and characterizations of these types of Levitin-Polyak well-posedness with or without gap functions of generalized vector quasi-equilibrium problem are given. The results in this paper unify, generalize and extend some known results in the literature.