| KKM Type Theorems and Coincidence Theorems in Topological Spaces |
| Received:December 09, 2005 Revised:October 28, 2007 |
| Key Words:
$FC$-space KKM type theorem coincidence theorem admissible set-valued map compactly local intersection property.
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| Fund Project:the Natural Science Foundation of Sichuan Provincial Education Department of China (No.2003A081; SZD0406) |
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| Abstract: |
| A class of finitely continuous topological spaces (in short, $FC$-spaces) is introduced. Some new KKM type theorems and coincidence theorems involving admissible set-valued mappings and the set-valued mapping with compactly local intersection property are proved in $FC$-spaces. As applications, some new fixed point theorems are obtained in FC-spaces. These theorems improve and generalize many known results in recent literature. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.02.022 |
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