| Caristi不动点定理与Banach压缩原理的等价性 |
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| 引用本文： | 尹文双,向淑文.Caristi不动点定理与Banach压缩原理的等价性[J].贵州大学学报(自然科学版),2006,23(2):125-126,216. |
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| 作者姓名： | 尹文双 向淑文 |
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| 作者单位： | 贵州大学理学院,贵州,贵阳,550025 |
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| 摘 要： | 作者证明了在一定条件下存在某一等价度量d*,使得满足Caristi不动点定理条件的映射F关于d*是Banach压缩映射,因此,Caristi不动点定理在一定条件下与Banach压缩映射原理等价.
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| 关 键 词： | Caristi不动点定理 等价度量 Banach压缩映射 |
| 文章编号： | 1000-5269（2006）02-0125-02 |
| 收稿时间： | 2006-03-07 |
| 修稿时间： | 2006-03-07 |
The Equivalence of Caristi Fixed Point Theorem and Banach Contraction Mapping Principle |
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| YUN Wen-shuang,XIANG Shu-wen.The Equivalence of Caristi Fixed Point Theorem and Banach Contraction Mapping Principle[J].Journal of Guizhou University(Natural Science),2006,23(2):125-126,216. |
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| Authors: | YUN Wen-shuang XIANG Shu-wen |
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| Institution: | Department of mathematics, Guizhou university Guiyang 550025 China |
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| Abstract: | Anthor proved,there exists a equivalent metric d~*,under certain conditions,such that the mapping F which satisfies the condition of caristi fixed point theorem,is a Banach contraction mapping respect to d~*.So under certain conditions,caristi fixed point theorem and Banach contraction mapping is equivalent. |
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| Keywords: | caristi fixed point theorem equivalent metric Banach contraction mapping |
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