Semicontinuity of Approximate Solution Mappings to Parametric Set-Valued Weak Vector Equilibrium Problems |
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Authors: | Z. Y. Peng Y. Zhao |
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Affiliation: | 1. College of Science , Chongqing JiaoTong University , Chongqing , China;2. Department of Mathematics , Sichuan University , Chengdu , Sichuan , China |
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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. |
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Keywords: | Berge continuity Hausdorff continuity Parametric set-valued weak vector equilibrium problem Scalarization |
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