摘要
本文利用可测选择理论,证明Banach空间中非线性单调算子随机方程和不等式的解的存在性。
Using some results from the theory of measurable multi-valued functions in [4] and the selection theorem in [8], we prove the existence of solutions of random equations and inequalities. stochastic generalizations of [1,Th. 2 and Th. 3] and [2,Th. 6. 5 and Th. 6. 2] are obtained.
关键词
单调算子
随机方程
BANACH空间
measurable space
measurable selector
random mapping
monotone operator
