Generalized 2-KKM theorems and their applications in hyperconvex metric spaces |
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Authors: | Tong-Huei Chang Chi-Ming ChenJin-Hsiang Chang |
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Institution: | Department of Applied Mathematics, National Hsinchu University of Education, Taiwan, ROC |
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Abstract: | In this work, we first define the 2-KKM mapping and the generalized 2-KKM mapping on a metric space, and then we apply the property of the hyperconvex metric space to get a KKM theorem and a fixed point theorem without a compactness assumption. Next, by using this KKM theorem, we get some variational inequality theorems and minimax inequality theorems. |
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Keywords: | 47H10 54C60 54H25 55M20 |
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