| n-Banach空间中压缩映射与非扩张映射下的不动点 |
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| 引用本文： | 樊增平,苏雅拉图.n-Banach空间中压缩映射与非扩张映射下的不动点[J].内蒙古师范大学学报(自然科学版),2010,39(4):351-355. |
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| 作者姓名： | 樊增平 苏雅拉图 |
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| 作者单位： | 内蒙古师范大学数学科学学院; |
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| 基金项目： | The Project Supported by the Natural Science Foundation of Inner Mongolia(20080404 MS0102) |
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| 摘 要： | 在n-赋范空间中引进非扩张映射、压缩映射以及序列紧集等概念.首先,证明了n-Banach空间中压缩映射下的两个不动点定理;其次,讨论了非扩张映射满足一定条件时,不动点的存在性问题与不动点集的一个结构;最后,通过非扩张映射定义了另外一族映射,并讨论了它的不动点集结构.
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| 关 键 词： | 扩张映射 压缩映射 n-Banach空间 序列紧集 |
The Fixed Points of Contractive and Non-Expansive Mappings in n-Banach Spaces |
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| FAN Zeng-ping,Suyalatu.The Fixed Points of Contractive and Non-Expansive Mappings in n-Banach Spaces[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2010,39(4):351-355. |
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| Authors: | FAN Zeng-ping Suyalatu |
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| Institution: | College of Mathematics Science/a>;Inner Mongolia Normal University/a>;Hohhot 010022/a>;China |
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| Abstract: | In this paper,the conceptions of contractive mappings,non-expansive mappings and sequence compact set in n-normed spaces were introduced.Firsly,two fixed points theorem of contractive mappings were proved in n-Banach spaces.Secondly,in n-Banach spaces,it is shown that the existence and structure of fixed points set in non-expansive mappings.Finally,one family mappings were defined by a non-expansive mappings in n-Banach spaces and the structure of fixed points sets were obtained. |
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| Keywords: | n-Banach spaces contractive mappings non-expansive mappings sequence compact set |
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