摘要
在非紧设置下的G-凸空间中得到一类新的广义R-KKM型非空交定理;利用已知的不动点定理和得到的非空交定理在非紧设置下的G-凸空间内得到抽象广义变分不等式解的存在性定理.证明了G-凸空间内鞍点存在性定理,这些定理都是新的且推广了最近的一些结果.
In this paper, a generalized R-KKM type nonempty intersection theorem is established under the noncompact setting of G-convex space. By using a known fixed point theorn and the nonempty intersection theorem, an existence theorm of solutions for abstract generalized variational inequalities is proved in noncompact G-convex space. As applications, we prove an existence theorm of saddle point in G-convex space. These theorems are all new and improve some known results in recent literature.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第5期546-550,共5页
Journal of Sichuan Normal University（Natural Science）
关键词
G-凸空间
抽象广义变分不等式
广义R-KKM映象
转移紧闭值
α-转移紧上(下)半连续
广义G-有上界紧拟凸
G-convex space
Abstract generalized variational inequality
Generalized R-KKM type mapping
Transfer compactly closedvalued
a- transfer compactly lower（ resp, upper）semicontinuolts
Generalized G- upper bolmds and compactly cplasi-convex
作者简介
何蓉华（1977-）,女,讲师
