γ─转移下（上）半连续函数及其在变分不等式问题中的应用

γ-Transfer Lower (Upper)Semi-Continuous Functions With Applications to the Problen of Variational Inequalities

本文应用γ—转移下（上）半连续函数和γ—广义拟凸（凹）函数的概念，首先对ＦＫＫＭ定理进行了推广，然后利用所得结果讨论了Ｈａｕｓｄｏｒｆｆ线性拓扑空间中的变分不等式和鞍点问题，获得了一些新的结果，这些结果削弱了通常的鞍卢、和变分不等式问题中对函数的连续性和凸（凹）性要求。

In this Paper, by using the concepts of γ-transfer lower (upper) semiContinuous funtions and γ- generalized quasi - convex (concave ), We study the Problems of saddle points and variational inequalities in Hausdorff linear topological space under weaker conditions of convexity and continuity of (x,y), and some resules are obtained. The results presented in this paper improve and extend some recent results.