H－空间中Fan　Ky极小极大不等式的进一步推广

A Further Generalization of the Fan Ky's Minimax Inequality in H-Spaces

本文引出γ－广义拟Ｈ－凸（凹）的概念，借助于这一概念给出了ＦａｎＫｙ极小极大不等式在Ｈ－空间中的一种新的推广形式．作为应用，我们得到了一个在Ｈ－空间中的鞍点定理．本文结果改进和发展了引文［１—５］中的相应结果．

The purpose of this paper is to introduce the concepts of T-generalized H-convexity (Hconcavity). By using this concept we obtain a new generalization of the Ky Fan's minimax inequality in H-spaces. As an application,we obtain a saddle point thoerem in H-space.The results presented in this paper extend and improve the results in [1-5].