| 一个集值映射的不动点定理 |
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| 引用本文： | 陈志强.一个集值映射的不动点定理[J].上海交通大学学报,1989,23(2):1-4. |
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| 作者姓名： | 陈志强 |
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| 作者单位： | 上海交通大学应用数学系 |
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| 摘 要： | 本文在Hausdorff 拓扑向量空间的仿紧集合上,给出了所谓弱下半连续的集值映射的概念和一个近似选择定理.类似于Ky Fan 不动点定理,本文所建立的一个新的不动点定理,将弱下半连续性条件取代了Fan 定理中的上半连续性条件.
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| 关 键 词： | 集值映射 弱下半连续 近似选择 不动点 |
A Fixed-point Theorem for Set-valued Mappings |
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| Chen Zhiqiang.A Fixed-point Theorem for Set-valued Mappings[J].Journal of Shanghai Jiaotong University,1989,23(2):1-4. |
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| Authors: | Chen Zhiqiang |
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| Institution: | Chen Zhiqiang |
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| Abstract: | On the paracompact subsets of Hausdorff topological vector spaces,this paper proposes a so-called weak lower semicontinuous concept for set-valuedmappings and a proximate selection theorem.As an analogue of Ky Fan's fixed-point theorem,a new theorem is set up to the upper semicontinuous condition inFan's theorem by a weak lower semicontinuous condition. |
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| Keywords: | set-valued mapping weak lower semicontinuous proximate selection fixed point |
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