仿紧L-凸空间内的广义L-R-KKM型定理及应用

Generalized L-R-KKM type theorems and applications in paracompact L-convex spaces

利用L-凸空间内的KKM型定理,建立了仿紧L-凸空间内广义L-R-KKM型定理,给出了对极大极小不等式和鞍点存在性问题的应用,这些定理及应用推广了原有的一些结论.

By virtue of KKM type theorem in L-convex space, the generalized L-R-KKM type theorems is established in paracompact L-convex spaces. As applications, a minimax inequality and a saddle point theorem are proved in L-convex spaces. These theorems improve and generalize the corresponding results in recent literature.