| 非紧超凸度量空间中的一个新的不动点定理及其对鞍点问题的应用 |
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| 引用本文： | 文开庭. 非紧超凸度量空间中的一个新的不动点定理及其对鞍点问题的应用[J]. 数学研究及应用, 2008, 28(1): 161-168 |
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| 作者姓名： | 文开庭 |
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| 作者单位： | Department of Mathematics, Bijie University, Guizhou 551700, China |
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| 基金项目： | the Science Research Foundation of Bijie University （No. 20062002）. |
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| 摘 要： | 在非紧超凸度量空间中建立了一个新的不动点定理.作为应用,研究了连续选择及其不动点定理,极大元定理、Ky Fan极大极小不等式和鞍点定理.
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| 关 键 词： | 非紧超凸度量空间 不动点定理 鞍点问题 应用 |
| 收稿时间： | 2006-04-28 |
| 修稿时间： | 2007-01-16 |
A New Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to Saddle Point Problems |
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| WEN Kai-ting. A New Fixed Point Theorem in Noncompact Hyperconvex Metric Spaces and Its Application to Saddle Point Problems[J]. Journal of Mathematical Research with Applications, 2008, 28(1): 161-168 |
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| Authors: | WEN Kai-ting |
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| Affiliation: | Department of Mathematics, Bijie University, Guizhou 551700, China |
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| Abstract: | In this paper, a new fixed point theorem is established in noncompact hyperconvex metric spaces. As applications, a continuous selection and its fixed point theorem, an existence theorem for maximal elements, a Ky Fan minimax inequality and an existence theorem for saddle points are obtained. |
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| Keywords: | hyperconvex metric space sub-admissible set fixed point continuous selection maximal element minimax inequality saddle point. |
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