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Semicontinuity of Approximate Solution Mappings to Parametric Set-Valued Weak Vector Equilibrium Problems
Authors:Z. Y. Peng  Y. Zhao
Affiliation:1. College of Science , Chongqing JiaoTong University , Chongqing , China;2. Department of Mathematics , Sichuan University , Chengdu , Sichuan , China
Abstract:
In this article, we obtain some stability results for parametric weak vector equilibrium problem with set-valued mappings. By using a scalarization method, we establish sufficient conditions for the semicontinuity of the approximate solution mappings to parametric set-valued weak vector equilibrium problem under weak assumptions. These results extend and improve some known results in the literature.
Keywords:Berge continuity  Hausdorff continuity  Parametric set-valued weak vector equilibrium problem  Scalarization
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