ANOTHER FORM OF KKM TYPE THEOREM AND ITS APPLICATIONS ON GENERALIZED CONVEX SPACES  

一般化凸空间上KKM定理的另一种形式及其应用(英文)

作　　者：朴勇杰 金雪莲 

机构地区：[1]Dept. of Math., Yanbian Univ., Yanji 133002,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2006年第2期207-213,共7页高校应用数学学报（英文版）（B辑）

基　　金：SupportedbytheNationalNaturalScienceFoundationofChina(10361005).

摘　　要：In this paper, another form of KKM type theorem on generalized convex spaces is obtained and the problems of von Neumann-Fan type sup inf sup inequalities and variational inequalities are discussed for their applications.The main results improve and generalize the corresponding results in previous papers.In this paper, another form of KKM type theorem on generalized convex spaces is obtained and the problems of von Neumann Fan type sup inf sup inequalities and variational inequalities are discussed for their applications. The main results improve and generalize the corresponding results in previous papers.

关 键 词：generalized convex space Г-quasiconvex （quasiconcave） function KKM map Г-convex trappable upper（lower） semicontinuous. 

分 类 号：O177.39[理学—数学]