摘要
首先引入了无凸性结构的有限连续拓扑空间(简称FC_空间)新概念.其次在FC_空间内建立了一个新的连续选择定理.应用此定理,在很弱的假设下,对定义在非紧FC_空间的乘积空间上的两个集值映射簇证明了某些新的重合点定理.这些结果推广了最近文献中的许多已知结果.某些应用将在后继文章中给出.
A new no, on of finite continuous topological space（in short,FC-space） without convexity structure was introduced. A new continuous selection theorem was established in FE-spaces. By applying the continuous selection theorem, some new coincidence theorems for two families of set-valued nappings defined on product space of noncompact FC-spaces are proved under much weak assumptions. These results generalize many known results in recent literature. Some applicalions will be given in a follow-up paper.
出处
《应用数学和力学》
CSCD
北大核心
2005年第12期1401-1408,共8页
Applied Mathematics and Mechanics
基金
四川省教育厅重点研究基金资助项目(2003A081)
四川省重点学科建设基金资助项目(0406)
关键词
重合点组定理
连续选择
转移紧开值
FD空间
system of coinddence theorems
continuous selection
transfer compact open value
FC-space
