| 关于概率度量空间中的压缩映射定理的逆问题 |
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| 引用本文： | 何培均.关于概率度量空间中的压缩映射定理的逆问题[J].贵州大学学报(自然科学版),1987(1). |
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| 作者姓名： | 何培均 |
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| 作者单位： | 贵州大学数学系 贵阳 |
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| 摘 要： | Meyers、Janos 和 Leader 等人建立了完备度量空间中的 Banach 压缩映射原理的逆定理。在概率度量空间中,Sehga,Sherwood 等人建立了与 Banach 压缩映象原理相当的不动点定理,本文研究这些定理的逆问题,所得的结果都是度量空间中的相应结果的概率推广。
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On the Converse of the Contractoin Mapping Theorem for Probabilistic Metric Spaces |
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| He Peijun.On the Converse of the Contractoin Mapping Theorem for Probabilistic Metric Spaces[J].Journal of Guizhou University(Natural Science),1987(1). |
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| Authors: | He Peijun |
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| Abstract: | The converses of Banach's contraction mappiny theorems of complete metric spaces are established by Meyers,Janos,and Leader.The fixed point theorems to contraction mapping of probabilistic metric space are established by Sehgal and Sherwood.In this paper we have extended the theorems of1-3]to complete probabilistic metric space. |
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| Keywords: | Probabilistic metric space contraction mapping fixed point theorem inveese theorem |
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