| 严格集压缩映射和凝聚映射的延拓定理及应用(英文) |
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| 引用本文： | 宋福民,陈辉.严格集压缩映射和凝聚映射的延拓定理及应用(英文)[J].应用泛函分析学报,2010,12(4):305-309. |
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| 作者姓名： | 宋福民 陈辉 |
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| 作者单位： | [1]南昌航空大学数学与信息科学学院,南昌330034 [2]安徽商贸职业技术学院,芜湖241002 |
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| 基金项目： | Acknowledgments The authors would like to thank the referee for his helpful advice. |
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| 摘 要： | 应用著名的Dugundji延拓定理和Urysohn引理,将Hilbert空间E中有界闭凸集D上的k-集压缩映射和聚映射延拓到全空间,并给出了其在拓扑度计算方面的应用.
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| 关 键 词： | k-集压缩映射 凝聚映射 延拓定理 拓扑度计算 郭大钧定理 |
Extension Theorems of Strict Set Contraction Mappings and Condensing Mappings and Applications |
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| SONG Fumin,CHEN Hui.Extension Theorems of Strict Set Contraction Mappings and Condensing Mappings and Applications[J].Acta Analysis Functionalis Applicata,2010,12(4):305-309. |
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| Authors: | SONG Fumin CHEN Hui |
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| Institution: | 1. Mathematics and Information Science College, Nanchang Hangkong University, Nanchang 330034. China 2. Anhui Business College of Vocational Technology, Wuhu 241002, China) |
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| Abstract: | In this paper, we extended the k-set contraction mappings and condensing mappings on a bounded convex closed set D in a Hilbert space E to the entire space, and obtained some applications to the calculation of topological degree. |
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| Keywords: | k-set contraction mapping condensing mapping extension theorem calculation of topological degree Guo's theorem |
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