| 乘积拓扑空间内的重合点组定理及应用(Ⅰ) |
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| 引用本文： | 丁协平.乘积拓扑空间内的重合点组定理及应用(Ⅰ)[J].应用数学和力学,2005,26(12):1401-1408. |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学,数学与软件科学学院,成都,610066 |
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| 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） |
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| 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.
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| 关 键 词： | 重合点组定理 连续选择 转移紧开值 FC_空间 |
| 文章编号： | 1000-0887(2005)12-1401-08 |
| 收稿时间： | 10 10 2004 12:00AM |
| 修稿时间： | 08 17 2005 12:00AM |
System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ) |
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| DING Xie-ping.System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)[J].Applied Mathematics and Mechanics,2005,26(12):1401-1408. |
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| Authors: | DING Xie-ping |
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| Institution: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066,P. R. China |
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| 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. |
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| Keywords: | system of coincidence theorems continuous selection transfer compact open value FC-space |
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