| 压缩映像原理的简单应用——Banach空间等价范数与Lipschitz条件 |
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| 引用本文： | 赵艳,陈欣. 压缩映像原理的简单应用——Banach空间等价范数与Lipschitz条件[J]. 西安文理学院学报, 2007, 10(4): 37-38 |
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| 作者姓名： | 赵艳 陈欣 |
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| 作者单位： | 西安文理学院数学系 陕西西安710065 |
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| 摘 要： | 观察Lipschitz条件与范数等价的命题在形式上的一致性,证明推导了结论:范数可以成为一个压缩映像,并利用这一思想来讨论范数一致收敛的问题.
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| 关 键 词： | Lipschitz条件 等价范数 压缩映像 范数一致收敛 |
| 文章编号： | 1008-5564（2007）04-0037-02 |
| 修稿时间： | 2006-12-24 |
Application of Contraction Mapping——Equivalent Norm in Banach Space and under Lipschitz Condition |
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| ZHAO Yan,CHEN Xin. Application of Contraction Mapping——Equivalent Norm in Banach Space and under Lipschitz Condition[J]. Journal of Xi‘an University of Arts & Science:Natural Science Edition Edi Edition, 2007, 10(4): 37-38 |
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| Authors: | ZHAO Yan CHEN Xin |
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| Abstract: | For the similarity between Lipschitz condition and equivalent norm,a conclusion was given through proof and derivation,showing that the norm could be a contraction mapping.The problem of uniformed convergence of norm was discussed with the application of the conclusion. |
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| Keywords: | Lipschitz condition equivalent norm contraction mapping uniformed convergence of norm |
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