G-H-空间中KKM定理的变形

On Some Versions of KKM Principle in G-H-space

作为古典的KKM映像的推广 ,R .U .Verma(Onageneralizedclassofminimaxinequalities[J].JMathAnalAppl,1999,2 40 (2 ) :2 6 1～ 36 6 .)介绍了G H 空间的概念 ,引入了I G H KKM映像 ,得到了一些新结果 .给出了G H 空间中KKM定理的一种形式 ,并得到G H 空间中KyFan型supinfsup形式不等式 .

Verma introduced the concept of G H space and I G H KKM maps as generalizations of the classical KKM map and obtained some new results in G H space. In this paper, we give KKM theorem in G H spaces, and obtain some sup inf sup inequalities of Ky Fan type in G H spaces.