| 随机集值映射的一个不动点定理 |
| |
| 引用本文： | 卢同善.随机集值映射的一个不动点定理[J].中国海洋大学学报(自然科学版),1987(2). |
| |
| 作者姓名： | 卢同善 |
| |
| 作者单位： | 山东海洋学院数学系 |
| |
| 摘 要： | 随机不动点定理在随机泛函分析中起重要作用。最近,随机集值映射的不动点定理得到了广泛地研究。本文研究具有随机定义域的随机集值映射的一个新的不动点定理,这一定理推广了S.Reich等人的重要结果。
|
| 关 键 词： | 不动点定理 随机不动点 广义不动点 连续随机集值映射 |
A FIXED POINT THEOREM FOR RANDOM SET-VALUED MAPPINGS |
| |
| Lu tongshan.A FIXED POINT THEOREM FOR RANDOM SET-VALUED MAPPINGS[J].Periodical of Ocean University of China,1987(2). |
| |
| Authors: | Lu tongshan |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | Random fixed point theorems are of fundamental importance in probabilistic functional analysis. Recently, the fixed point theorems for random set-valued mappings have been investigated widely. In this paper we establish for random set-valued mappings with stochastic domain a new fixed point theorem which generalizes the important results obtained by S. Reich (2) et. al. |
| |
| Keywords: | fixed point theorem random fixed point wide-sence fixed point continuous random set-valued mapping |
| 本文献已被 CNKI 等数据库收录！ |
