一个新型KKM定理的应用  

Applications of a New Type of KKM Theorem

作　　者：汪达成 任培业 

机构地区：[1]重庆师专数学系 [2]成都水电校

出　　处：《西南民族学院学报（自然科学版）》1997年第1期7-11,共5页Journal of Southwest Nationalities College(Natural Science Edition)

摘　　要：应用拓扑空间中的一个新型ＫＫＭ定理得到了广义区间空间上新型的极大极少定理、截口定理和区间空间中的不动点定理。A new type of KKM theorem in topological spaces has been proved in our paper.By means of that theorem,some new minimax theorems and section theorems in generalized interval spaces,and fixedpoint theorem in interval spaces have been obtained,and the existing problems of Nash equilibrium and Shafer Sonneinschein equilibrium points for abstract economy have been also studied in this paper.

关 键 词：广义区间空间 KKM定理 拓扑空间 极大极小定理 

分 类 号：O189.11[理学—数学]