随机收缩偶与随机算子方程组的解

PAIRED RANDOM CONTRACTORS AND THE SOLUTIONS OF A SYSTEM OF RANDOM OPERATOR EQUATIONS

本文引入随机收缩偶,建立随机算子方程组公共随机解的存在性定理,使随机收缩理论与映像组公共随机不动点定理在Banach空间得以统一,并推广了随机收缩理论中的一些重要结果。

In this paper,by using random contractor and the technique of defining the induced operator of random set-valued operator,we mainly prove the existence theorem of integrable solutions of random set-valued operator equations.