一般化凸空间上截口定理及其对择一不等式的应用

Section Theorem and its Applications to Alternative Inequalities on Generalized Convex Spaces

我们根据一般化凸空间上的KKM型定理得到了截口定理,然后作为它的应用讨论了若干个择一不等式.最后,引进了一个具体的一般化凸空间并在该空间上讨论了择一不等式解的存在性问题.

We used the KKM type theorem on generalized convex spaces to obtain section theorem, and then discussed some alternative inequalities as its applications. Finally, we introduced a generalized convex space and discussed the existence problems of solutions for alternative inequalities on this space.