摘要
本文首先建立了广义Ｈ－ＫＫＭ定理．给出了ＫｙＦａｎ匹配定理的推广和精确化，得出了几个重合定理并把ＫｙＦａｎ截口定理推广到Ｈ－空间．文中还证明了取值于完全格中的Ｈ－空间上的向量形式的极大极小不等式和极大极小值定理．改进和推广了［２～５，７，８，１０，１３，１４］中许多重要结果．
The purpose of this paper is to establish a generalized H-KKM theorem on H-space,to give a generalization and a precision of the famous Ky Fan's matching theorem,to obtain some coincidence theorems and to extend the Ky Fan's section theorem to the case of H-spaces. As applications,we utilize the results mentioned above to study the vector-valued minimax inequalities and valued minimax theorems on H-spaces.The results presented in this paper have improvd and extended many recent results of[2～6,8,9,12,15,16].
基金
国家自然科学基金
关键词
广义
H-KKM定理
不等式
H空间
H-space
generalized H-KKM theorem
complete lattice minimax inequality
