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The generalized Tykhonov well-posedness for system of vector quasi-equilibrium problems
Authors:Jian-Wen Peng  Soon-Yi Wu
Affiliation:1.College of Mathematics and Computer Science,Chongqing Normal University,Chongqing,People’s Republic of China;2.Department of Mathematics,National Cheng Kung University,Tainan,Taiwan, ROC
Abstract:In this paper, the notion of the generalized Tykhonov well-posedness for system of vector quasi-equilibrium problems are investigated. By using the gap functions of the system of vector quasi-equilibrium problems, we establish the equivalent relationship between the generalized Tykhonov well-posedness of the system of vector quasi-equilibrium problems and that of the minimization problems. We also present some metric characterizations for the generalized Tykhonov well-posedness of the system of vector quasi-equilibrium problems. The results in this paper are new and extend some known results in the literature.
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