Levitin-Polyak well-posedness of generalized vector quasi-equilibrium problems with functional constraints |
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| Authors: | Jian-Wen Peng Soon-Yi Wu Yan Wang |
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| Institution: | (1) Department of Mathematics, Sichuan University, Chengdu, Sichuan, People’s Republic of China;(2) Department of Mathematics, China West Normal University, Nanchong, Sichuan, People’s Republic of China;(3) Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan; |
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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. |
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