一类随机双线性型变分不等式随机解的存在性

The existence of random solutions for a class of stochastic bilinear variation inequalities

在自反的Banach空间中,借助辅助原理,利用FKKM定理,研究了一类随机双线性型变分不等式随机解的存在性和唯一性.把一般的双线性型变分不等式问题经过随机化方法推广成随机双线性型变分不等式问题,所得的结果为近期一些工作的推广和发展.

In reflexive Banach space,with the auxiliary principle,the existence and uniqueness of random solutions for a class of stochastic bilinear variation inequalities is studied through FKKM. The general bilinear variation inequality problems are promoted into random bilinear variation inequality problem through the randomized method. The result is the promotion and development of some recent major work.