摘要
利用已知的不动点定理 ,在非紧H 空间内得到抽象广义变分不等式解的存在性定理 ;利用已知的重合点定理 ,在一般拓扑空间内得到一个极大极小不等式定理 .
By using a known fixed point theorem, an existence theorem of solutions of generalized variational inequality is proved in noncompact H space. By using a known coincidence theorem, a minimax inequality is established in general topological space. These theorems are new and some results in recent references are generalized to topological space.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
2000年第6期565-569,共5页
Journal of Sichuan Normal University（Natural Science）
基金
国家自然科学基金资助项目! (198710 5 9)
关键词
广义变分不等式
拓扑空间
极大极小不等式
Generalized variational inequality
Generalized H KKM mapping
H quasi convex
Compact mapping
Contractible space
Compactly local intersection property
Acyclic mapping
