| CONTINUOUS SELECTION THEOREMS FOR FAN-BROWDER MAPPINGS IN TOPOLOGICAL SPACES AND THEIR APPLICATIONS |
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| 作者姓名： | 杨明歌 邓磊 |
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| 作者单位： | School of Mathematics and Finance Southwest University Chongqing 400715，P. R. China，School of Mathematics and Finance Southwest University，Chongqing 400715，P. R. China |
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| 基金项目： | 同济大学校科研和教改项目 |
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| 摘 要： | The concept of Fan-Browder mappings was first introduced in topological spaces without any convex structure. Then a new continuous selection theorem was obtained for the Fan-Browder mapping with range in a topological space without any convex structure and noncompact domain. As applications, some fixed point theorems, coincidence theorems and a nonempty intersection theorem were given. Both the new concepts and results unify and extend many known results in recent literature.
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| 关 键 词： | 连续选择定理 Fan-Browder映射 混合点 相合点 |
| 收稿时间： | 2004-09-09 |
| 修稿时间： | 2005-12-16 |
Continuous selection theorems for Fan-Browder mappings in topological spaces and their applications |
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| Ming-ge Yang,Professor Lei Deng.CONTINUOUS SELECTION THEOREMS FOR FAN-BROWDER MAPPINGS IN TOPOLOGICAL SPACES AND THEIR APPLICATIONS[J].Applied Mathematics and Mechanics(English Edition),2006,27(4):493-500. |
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| Authors: | Ming-ge Yang Professor Lei Deng |
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| Institution: | School of Mathematics and Finance, Southwest University, Chongqing 400715, P. R. China |
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| Abstract: | The concept of Fan-Browder mappings was first introduced in topological spaces without any convex structure. Then a new continuous selection theorem was obtained for the Fan-Browder mapping with range in a topological space without any convex structure and noncompact domain. As applications, some fixed point theorems, coincidence theorems and a nonempty intersection theorem were given. Both the new concepts and results unify and extend many known results in recent literature. |
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| Keywords: | Fan-Browder mapping continuous selection fixed point coincidence point |
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