| Z-P-S空间中定点紧压缩概率算子的不动点定理 |
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| 引用本文： | 朱传喜,肖芳明.Z-P-S空间中定点紧压缩概率算子的不动点定理[J].南昌大学学报(理科版),2011,35(2):1. |
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| 作者姓名： | 朱传喜 肖芳明 |
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| 作者单位： | 南昌大学数学系； |
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| 基金项目： | 国家自然科学基金资助项目(10461007); 江西省自然科学基金资助项目(2007GZS2051) |
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| 摘 要： | 概率度量空间中不动点问题的研究是非线性算子问题研究的重要组成部分。在Z-P-S空间中引入定点紧压缩概率算子的概念,利用拓扑度的同伦不变性和可解性,对Z-P-S空间中定点紧压缩概率算子的不动点问题作了研究,给出了一些重要结论。
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| 关 键 词： | 紧连续算子 不动点 拓扑度 Z-P-S空间 |
Several theorems of constant point compact contractive probabilistic operator in Z-P-S space |
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| ZHU Chuan-xi,XIAO Fang-ming.Several theorems of constant point compact contractive probabilistic operator in Z-P-S space[J].Journal of Nanchang University(Natural Science),2011,35(2):1. |
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| Authors: | ZHU Chuan-xi XIAO Fang-ming |
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| Institution: | ZHU Chuan-xi,XIAO Fang-ming(Department of Mathematics,Nanchang University,Nanchang 330031,China) |
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| Abstract: | The fixed point on Probabitily-Meaurnast(PM)-space is an important part of study of nonlinear operators.New concepts of the constant point compact contractive probabilistic operator are introduced and the fixed point problems of these operators are studied in Z-P-S space.Several important conclusions are obtained. |
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| Keywords: | Z-P-S space compact continuous operator topological degree fixed point |
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