抽象凸空间中若干结果的推广

Generalizations of Some Theorems in Abstract Convexity Space

对抽象凸结构的性质做了进一步的研究,给出Fan Ky引理、Ky Fan变分不等式定理、极大极小不等式定理以及Schauder不动点定理在抽象凸空间中的推广。

The purpose of this paper is to introduce the further properties of abstract convexity structures. We obtain some generalizations of Ky Fan＇s Lemma、Ky Fan＇s variational inequalities theorem、minimax inequalities theorem and Schauder＇ s fixed point theorem in abstract convexity space.