集值映射的随机不动点定理

Random fixed point theorems for set-valued functions

首先建立了一个一般随机不动点定理 ,指出在对偶可分空间中有界闭凸集值映射存在随机不动点的充要条件为该集值映射存在广义不动点 ;在此基础上 。

At first a general random fixed point theorem is established. It is pointed out that a set-valued function with bounded closed convex set value in a separable dual Banach space has a random fixed point if and only if it has a generalized fixed point. On this base, several random fixed point theorems are given for set-valued functions.