| SYSTEM OF COINCIDENCE THEOREMS IN PRODUCT TOPOLOGICAL SPACES AND APPLICATIONS (Ⅰ) |
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| 引用本文： | 丁协平.SYSTEM OF COINCIDENCE THEOREMS IN PRODUCT TOPOLOGICAL SPACES AND APPLICATIONS (Ⅰ)[J].应用数学和力学(英文版),2005,26(12):1547-1555. |
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| 作者姓名： | 丁协平 |
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| 作者单位： | College of |
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| 基金项目： | Project supported by the Natural Science Foundation of Education Department of Sichuan Province （ No. 2003A081 ） and the Constructed Foundation of Key Disciplines of Sichuan Province （ No. 0406 ） |
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| 摘 要： | A new notion of finite continuous topological space (in short, FC-space) with out 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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| 关 键 词： | 拓扑空间 一致性理论系统 连续性选择 FC空间 泛函分析 |
| 文章编号： | 0253-4827（2005）12-1547-09 |
| 收稿时间： | 2004-10-10 |
| 修稿时间： | 2005-08-17 |
System of coincidence theorems in product topological spaces and applications (I) |
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| Xie-ping Ding.System of coincidence theorems in product topological spaces and applications (I)[J].Applied Mathematics and Mechanics(English Edition),2005,26(12):1547-1555. |
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| Authors: | Xie-ping Ding |
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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) with out 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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