| 非紧超凸度量空间中的极大元定理及其对极大极小问题和鞍点问题的应用 |
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| 引用本文： | 文开庭.非紧超凸度量空间中的极大元定理及其对极大极小问题和鞍点问题的应用[J].应用泛函分析学报,2009,11(1):9-14. |
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| 作者姓名： | 文开庭 |
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| 作者单位： | 毕节学院数学系,毕节,551700 |
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| 基金项目： | Project supported by the Scientific Research Foundation of Bijie University |
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| 摘 要： | 在非紧超凸度量空间中的非紧次允许子集中建立了一个极大元定理．作为应用，研究了Fan-Browder型不动点定理、KyFan极大极小不等式和鞍点定理．
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| 关 键 词： | 超凸度量空间 次允许子集 不动点 极大元 极大极小不等式 鞍点 非紧性测度 |
The Maximal Element Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to the Minimax Question and the Saddle Point Question |
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| WEN Kai-ting.The Maximal Element Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to the Minimax Question and the Saddle Point Question[J].Acta Analysis Functionalis Applicata,2009,11(1):9-14. |
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| Authors: | WEN Kai-ting |
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| Institution: | WEN Kai-ting (Department of Mathematics, Bijie University, Bijie 551700, China) |
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| Abstract: | An existence theorem for maximal elements is established in noncompact sub-admissiblesubsets of noncompact hyperconvex metric spaces.As applications,a Browder-Fan fixed point theorem,a Ky Fan minimax inequality and an existence theorem for saddle points are obtained. |
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| Keywords: | hyperconvex metric space sub-admissible subset fixed point maximal element minimax inequality saddle point noncompact measure |
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