一般化凸空间上截口定理对Von Neumann型择一不等式的应用

Applications of section theorem to Von Neumann type alternative inequalities on generalized convex spaces

根据一般化凸空间上的KKM型定理得到了截口定理,然后给出了它对VonNeumann型择一不等式问题的一个应用.所获得的结果改进了文[11]和[12]中相应的结论.

By the KKM type theorem on generalized convex spaces, a section theorem is obtained. An application of the section theorem to Von Neumann type alternative inequalities is also shown. The corresponding results in [ 11 ] and [ 12] are improved.