一般化凸空间上择一不等式

Alternative inequalities on generalized convex spaces

首先改进文献[1]中给出的KKM型定理,然后根据该定理推出一般化凸空间上的择一不等式,最后构造一个G 凸空间并在该空间上讨论择一不等式.

In this paper, we first improved the KKM type theorem in paper [1], and then used the improved KKM type theorem on generalized convex spaces to obtain alternative inequalities, finally constructed a generalized convex space and discussed alternative inequality problems on this space.