几个变分不等式及不动点定理

Several Variational Inequalities and Fixed Point Theorems

本文以一般化的KKM定理为基础,讨论了一类变分不等式的解的存在性及解的初步性质,给出了著名的Minimax不等式的几种推广,最后得到几个不动点定理。

On the basis of the generalized KKM Theorems, the existence and Initial properties of the Solutions of vanatlonal inequalities are discussed, and ky Fan's Mlnlmax inequallty is extended in diffesent forms, in the end, We obtain some fixed point theorems.