Abstract: This paper considers set-valued nonexpansive operators and gives appropriate stochastic fixed point theorems in the Banach space.

Key words: nonexpansive operators, stochastic fixed point, generalized random variable, generalized Hausdoff distance, product topology, Opial space, Lebesgue completion

摘要： 本文考虑了集值非扩张算子并在Banach空间中给出了相应的若干随机不动点定理。

关键词: 非扩张算子, 随机不动点, 广义随机变量, 广义Hausdoff距离, 积拓扑, Opial空间, Lebesgue完全化