新型拓扑KKM定理与等价形式及其应用  

Some New Topological KKM Theorems and Its Equivalent Form with Applications

作　　者：汪达成[1] 

机构地区：[1]重庆交通大学理学院,重庆400074

出　　处：《应用泛函分析学报》2007年第4期320-325,共6页Acta Analysis Functionalis Applicata

基　　金：重庆市教委资助基础/应用基础课题(kj060416)

摘　　要：在不具线性结构拓扑空间—广义区间空间—中得到了新型拓扑KKM定理及其几个等价形式.作为应用,本文研究了广义区间空间中一类抽象形式变分不等式解的存在性问题.Some new KKM theorems and its equivalent form are obtained in generalized interval spaces, general topological spaces without linear structure. As applications, we utilize the results to study the existence problem of solutions for some kind of abstract variational inequalities in generalized interval spaces.

关 键 词：广义区间空间 KKM定理 GT-凸集 T-凸集 GT-紧集 变分不等式 

分 类 号：O177.92[理学—数学]