随机截口定理和随机变分不等式

Random Section Theorem and Randow Variational Inequalities

本文首先给出了Ｋｙ Ｆａｎ 截口定理的随机化形式，然后利用它得到了随机变分不等式解的存在性定理及随机化的Ｋｙ Ｆａｎ 极大极小原理。这些定理改进和推广了［３］中相应结果。

This paper firstly studies a random form Ky Fan secion theorem ,and next, by using this tool the existence of measurable solution of an random variational inequlaity and random minimax theorem are obtained. Our results improved and generalized corresponding results in [3].