凝聚随机算子的一个不动点定理

A Fixed Point Theorem for Random Condensing Operators

利用拓扑度的基本性质，给出了凝聚随机算子的一个不动点定理，由此推广了Altman定理，为进一步研究随机算子方程解的存在唯一性及解的近似方法提供了一个有力的工具。

In this paper, a fixed point theorem for random condensing operators is proved. The famous Altman's theorem is also generalized, which supplies a effective method for the research on random operator equations.