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Generalized S-KKM Theorems and Minimax Inequalities in FC-Spaces |
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| Authors: | ZHANG Hong-ling Fan Cui-li |
| Institution: | 1. Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China;School of Information Science and Technology, Southwest Jiootong University, Chengdu 610031, China 2. Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China |
| Abstract: | The concept of FC-closed subset in FC-spaee without any linear structure was introduced. Then, the generalized KKM theorem is proved for FC-closed value mappings under some conditions. The FC-space in the theorem is the generalization of L-convex space and the condition of the mapping with finitely FC-closed value is weaker than that with finitely L-closed value. |
| Keywords: | Generalized S-KKM type theorem Finitely continuous topological space FC-closed value Minimax inequalities |
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