在這篇論文中,我們是由弱G-KKM函數推廣到弱G-S-KKM函數上,並且得到一些非緊緻條件的推廣型KKM定理。在應用的部分,我們得到一些大中取小不等式定理。本文的結果推廣了M.Balaj[2]的一些結果。

In this paper, we extend the concept of weakly G-KKM mapping to weakly G-S-KKM mapping, and get a generalized KKM theorem without the compact assumption. As applications, we apply this theorem to get some theorems concerning minmax inequalities which generalize some results of [2].

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