乘积拓扑空间内的重合点组定理及应用(Ⅰ)

丁协平

乘积拓扑空间内的重合点组定理及应用(Ⅰ)

丁协平

四川师范大学数学与软件科学学院,成都 610066

基金项目: 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)

详细信息

作者简介:
丁协平(1938- ),男,自贡人,教授(Tel:+86-28-84780952;E-mail:dingxip@sicnu.edu.cn)

中图分类号: O177.92
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- 被引次数: 0
出版历程
- 收稿日期: 2004-10-10
- 修回日期: 2005-08-17
- 刊出日期: 2005-12-15

System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)

DING Xie-ping

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China

摘要

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．
- 重合点组定理 /
- 连续选择 /
- 转移紧开值 /
- FC-空间
Abstract: A new notion of finite continuous topological space (in short,FC-space) without convexity structure was introduced.A new continuous selection theorem was established in FC-spaces.By applying the continuous selection theorem,some new coincidence theorems for two families of set-valued mappings defined on product space of noncompact FC-spaces are proved under much weak assumptions.These results generalize many known results in recent literature.Some applications will be given in a follow-up paper.
- system of coincidence theorems /
- continuous selection /
- transfer compact open value /
- FC-space

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参考文献(23)

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