随机泛函分析中可交换映象的随机不动点定理

张石生

随机泛函分析中可交换映象的随机不动点定理

张石生

四川大学数学系

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出版历程
- 收稿日期: 1981-10-24
- 刊出日期: 1982-06-15

Random Fixed Point Theorems for Commuting Random Operators in Probabilistic Functional Analysis

Chang Shih-sen

Sichuan University, Chengdu

摘要

摘要: 随机不动点定理在随机泛函分析中是一重要问题.在可分完备的度量空间中的随机不动点定理Bharucha-Reid,王梓坤,Špa?ek,Hanš,Itoh及作者等都曾进行过讨论(见[1-5,15-20,21]).在本文中我们对概率分析中可交换映象的随机不动点定理得出了几个新的结果,它推广了前述诸人工作中某些重要结果.在确定性情形也推广了Jungck^[6,7,8],Das,Naik^[9],Rhoades^[10],及Ciric^[11]的结果.

Abstract: Random fixed point theorems are of fundamental importance in probabilistic functional analysis. In complete separable metric space random fixed point theorems have been discussed by Bharucha-Reid^[1], Hans^[3], Itoh^[4,5] and the author's papers^[15-20].In this paper we obtain a random fixed point theorem for commuting random operators in probabilistic functional analysis. Our results generalize some important results also extend and unify some results in Jungck^[6,7,8]. Das and Naiki^[9] as well as Bhoades^[10] adn ciric^[11].

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参考文献(21)

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