随机混合单调算子的不动点存在定理

Study on the Fixed Points Existence Theorems of Random Mixed Monotone Operators

首先讨论了一类随机混合单调算子方程组解的存在性问题,其次通过引入两个引理,在锥中,研究了随机混合单调算子的耦合不动点,得到一个新结果,从而推广了一些著名的结论。

In this paper, we firstly discussed the existence of solution for a class of systems of random mixed monotone operators . Secondly we studied the coupled fixed point of random mixed montone operator in cone , and obtain a new result , then some famous conclusions were generalized.