| 拓扑空间中Fan-Browder映射的连续选择定理及其应用 |
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| 引用本文： | 杨明歌,邓磊.拓扑空间中Fan-Browder映射的连续选择定理及其应用[J].应用数学和力学,2006,27(4):439-446. |
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| 作者姓名： | 杨明歌 邓磊 |
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| 作者单位： | 西南大学,数学与财经学院,重庆,400715 |
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| 摘 要： | 首先，在不具有任何凸性结构的拓扑空间中引入Fan-Browder映射的概念．然后，证明了一个新的关于Fan-Browder映射的连续选择定理，其中定义域是非紧的。值域是不具有任何凸性结构的拓扑空间的子集．作为应用，给出了一些不动点定理、叠合点定理和一个非空交定理．这些新的概念和定理统一和推广了许多已有的结果．
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| 关 键 词： | Fan-Browder映射 连续选择 不动点 叠合点 |
| 文章编号： | 1000-0887（2006）04-0439-08 |
| 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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| YANG Ming-ge,DENG Lei.Continuous Selection Theorems for Fan-Browder Mappings in Topological Spaces and Their Applications[J].Applied Mathematics and Mechanics,2006,27(4):439-446. |
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| Authors: | YANG Ming-ge DENG Lei |
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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 concept 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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