| Altman定理在随机集值半闭1-集压缩映象下的推广 |
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| 引用本文： | 杨庚华,李国祯.Altman定理在随机集值半闭1-集压缩映象下的推广[J].四川师范大学学报(自然科学版),2010,33(2). |
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| 作者姓名： | 杨庚华 李国祯 |
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| 作者单位： | 1. 佛山科学技术学院,数学系,广东,佛山,528000
2. 江西师范大学,数学系,江西,南昌,330027 |
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| 摘 要： | 最近,S.Y.Xu(Nonlinear Analysis:TMA,2007,67:938-944.)得到了半闭1-集压缩映象的若干不动点定理.将其中的半闭1-集压缩映象Altman不动点定理推广到了随机集值情形,得到了随机集值半闭1-集压缩映象的一个随机不动点定理.
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| 关 键 词： | 随机 集值 半闭 1-集压缩 随机不动点 |
Generalization of Altman Theorem to Random Set-valued Semi-closed 1-set Contraction Mapping |
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| YANG Geng-hua,LI Guo-zhen.Generalization of Altman Theorem to Random Set-valued Semi-closed 1-set Contraction Mapping[J].Journal of Sichuan Normal University(Natural Science),2010,33(2). |
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| Authors: | YANG Geng-hua LI Guo-zhen |
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| Institution: | YANG Geng-hua1,LI Guo-zhen2(1.Department of Mathematics,Foshan Technology College,Foshan 528000,Guangdong,2.Department of Mathematics,Jiangxi Normal University,Nanchang 330027,Jiangxi) |
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| Abstract: | In this paper,we extend the important fixed point theorem-Altman Theorem to set-valued semi-closed 1-set contraction mapping.A random fixed-point theorem for random set-valued semi-closed 1-set contraction mapping is obtained. |
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| Keywords: | random set-valued semi-closed 1-set contraction random fixed-point |
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