γ-上(下)半连续函数与极大极小不等式

γ-UPPER( LOWER) SEMI-CONTINUOUS FUNCTIONS AND MINIMAX INEQUALITY

本文引进了Υ-上(下)半连续函数的概念,利用这一概念并借助于广义KKM定理给出了两个极大极小不等式和一个鞍点定理。推广和统一了文献[2—6]中的相应结果。

In this paper the concept or γ-upper ( lower ) semi-continuous function is introduced. By using this concept and the generalizea KKM theorem two minimax inequalities and a seddle point theorem are given which generalize and unify the corresponding results in [2-6].