摘要
利用广义R-KKM映射,在一般拓扑空间中证明了一个新的重合点定理.作为应用,证明了一个截口定理、一个最佳逼近定理和一个极大极小不等式.
A new coincidence theorem for admissible set-valued mappings is proved in general noncompact topological spaces by using generalized R-KKM mappings. As applications, a section theorem, a best approximation theorem and a minimax inequality are also proved.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2006年第5期20-25,共6页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
容许集值映象
转移紧开值
紧局部交性质
广义R-KKM映射
admissible set-valued mapping
transfer compactly open-valued
compactly local intersection property
generalized R-KKM mapping