摘要
本文中,我们引入转移开、闭集值映象的概念,推广了H-空间中的KKM定理 ̄[4].然后用所得的结果证明了几个重合定理、匹配定理和向量值极大极小不等式。这些结论推广了近期文献[1,2,4,5,6,7]中的相应结果。
In this paper,we introduce a class of generalized mapping called transfer open or closed valued mapping to generalized the KKM theorem on H-space。Then as applications. using our H-KKM theorem,we prove some coincidence theorems,matching theorems and vecotor valued minimax inequalities which generalize slightly the corresponding results in[1,2,4,5,6,7]。
出处
《应用数学和力学》
EI
CSCD
北大核心
1994年第10期927-933,共7页
Applied Mathematics and Mechanics
关键词
重合定理
H-KKM定理
集值映象
transfer closed or open setvalued mapping.coincidence theorem,H-KKM mapping.matching theorem