G-凸空间中的KKM定理,匹配定理和截口定理(英文)

New KKM Theorems,Matching Theorems and Section Theorem in G-convex Spaces

在G-凸空间中证明了一些新的KKM型定理.作为应用,在G-凸空间中得到了一些新的匹配定理和截口定理,所得结果改进和推广了[2,3,7]中的相关结果.

The purpose of this paper is to establish some new KKM theorems in G-convex spaces and, as applications, to obtain some new matching theorems and section theorem in G-convex spaces, the results presented in this paper improve and generalize the corresponding result in[2,3,7].