H-KKM映像及其抽象拟凸(凹)性

H-KKM Mapping and Abstract Convex(Concave) Conceptions

对一组H-KKM映象的情形推广了KKM定理,并讨论了取值于Riesz空间的映像的各种抽象凸(凹)概念与H-KKM映像、广义H-KKM映像的关系,还用所得结果对极大极小不等式及鞍点问题进行了研究.

In the paper, the authors generalize KKM theorem based on H-KKM mapping and discuss the relationship among H-KKM mapping, generalized H-KKM mapping and abstract convex（concave） conception which fetch their values from Riesz space. Based on the results, problems of minimax inequality and saddle point are discussed.