一般化凸空间上变分不等式解的存在定理  

Existence theorems of solutions for variational inequalities on generalized convex spaces

作　　者：朴勇杰[1] 金光植[1] 

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《东北师大学报（自然科学版）》2007年第1期28-31,共4页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10361005);延边大学科研项目

摘　　要：根据已知的KKM型定理得出一般化凸空间上变分不等式的择一性定理,利用拓扑空间X的积空间X×X上的实值函数,构造出一个G-凸空间,并在该空间上讨论变分不等式解的存在问题.The well-known KKM type theorem was used to obtain alternative theorems of variational inequalities on generalizded convex spaces, and then a generalizded convex space was constructed by using a real function on product space X × X of a topological space X and the existence problems of solutions for variational inequalities were discussed on this space.

关 键 词：一般化凸空间 Γ-凸的 KKM映射 转移闭(开)值的 

分 类 号：O189.1[理学—数学] O177.91[理学—基础数学]