一般凸空间上相交定理的另一种形式及其对变分不等式的应用  

Another Form of Intersection Theorems on Generalized Convex Spaces and Its Application to Variational Inequality

作　　者：朴勇杰[1] 尹哲[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《吉林大学学报（理学版）》2008年第3期438-442,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10361005);延边大学科研基金(批准号:2004[8号])

摘　　要：利用古典的KKM原理和一般凸空间上最基本的KKM型定理得出若干个相交定理的另一种表现形式,并给出转移开闭映射的一个性质.作为相交定理的应用讨论了广义变分不等式解的存在性.Another form of intersection theorems was obtained by means of classical KKM principte and me basic KKM type theorem on generalized convex spaces, and then an important property of transfer open-closed valued map was given, finally the existence problem of solution for generalized variational inequality was discussed as the application of intersection theorem.

关 键 词：一般凸空间 F-凸的 转移开(闭)映射 上(下)半连续 KKM映射 

分 类 号：O189.1[理学—数学] O177.913[理学—基础数学]