Weakly KKM Map,Intersection Theorems and Minimax Inequalities on Abstract Convex Spaces  

作　　者：Yong Jie PIAO 

机构地区：[1]Department of Mathematics,Yanbian University,Jilin 133002,P.R.ChinaAbstract In this paper,we introduce the concept of weakly KKM map on an

出　　处：《Journal of Mathematical Research and Exposition》2010年第6期1091-1098,共8页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.10361005)

摘　　要：In this paper,we introduce the concept of weakly KKM map on an abstract convex space without any topology and linear structure,and obtain Fan＇s matching theorem and intersection theorem under very weak assumptions on abstract convex spaces.Finally,we give several minimax inequality theorems as applications.These results generalize and improve many known results in recent literature.In this paper,we introduce the concept of weakly KKM map on an abstract convex space without any topology and linear structure,and obtain Fan＇s matching theorem and intersection theorem under very weak assumptions on abstract convex spaces.Finally,we give several minimax inequality theorems as applications.These results generalize and improve many known results in recent literature.

关 键 词：abstract convex space map class K KC KO weakly KKM map matching theorem. 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]