| 概率半紧1—集压缩映象的理论及不动点定理 |
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| 引用本文： | 张石生,康世焜,宋建伟. 概率半紧1—集压缩映象的理论及不动点定理[J]. 四川大学学报(工程科学版), 1991, 0(3) |
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| 作者姓名： | 张石生 康世焜 宋建伟 |
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| 摘 要： | 本文研究了概率半紧1-集压缩映象,并对它与概率凝聚映象和半紧1-集压缩映象之间的关系进行了讨论,给出了概率局部凸空间中概率半紧1-集压缩映象的几个不动点定理,进而得到了几个局部凸空间上半紧1-集压缩映象的不动点定理。
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| 关 键 词： | 概率半紧 1—集压缩映象 不动点 |
On the Theory and Fixed Point Theorems for Probabilistically Semi Compact 1-Set-contraction Mappings |
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| Zhang shisheng Kang shikun Song jianwei. On the Theory and Fixed Point Theorems for Probabilistically Semi Compact 1-Set-contraction Mappings[J]. Journal of Sichuan University (Engineering Science Edition), 1991, 0(3) |
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| Authors: | Zhang shisheng Kang shikun Song jianwei |
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| Affiliation: | Zhang shisheng Kang shikun Song jianwei |
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| Abstract: | The purpose of this paper is to study the properties of probabilistically semi compact 1-set contraction mappings and the relation between this kind of mappings and probabilistically condensing mappings and semi compact 1-set contraction mappings.Some fixed point theorems for probabilistically semi compact 1-set contraction mappingsin probabilistically local convex spaces are shown. |
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| Keywords: | Probabilistially semi compact 1-set contraction mappings |
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