| 压缩映射原理及其应用 |
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| 引用本文： | 张运章. 压缩映射原理及其应用[J]. 孝感学院学报, 2005, 25(6): 45-49 |
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| 作者姓名： | 张运章 |
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| 作者单位： | 云南民族大学,数学与计算机科学学院,云南,昆明,650031 |
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| 摘 要： | 在各类方程的求解问题里常转化为求映射的不动点，利用逐次逼近法求不动点，在计算数学有广泛的应用。利用度量空间及压缩映射的观点来描述这一方法，再给出它的一些应用。
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| 关 键 词： | 压缩映射 不动点 度量空间 逐次逼近法 |
| 文章编号： | 1671-2544（2005）06-0045-05 |
| 收稿时间： | 2005-08-21 |
| 修稿时间： | 2005-08-21 |
The Compression-Mapping Principle and Its Application |
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| ZHANG Yun-zhang. The Compression-Mapping Principle and Its Application[J]. JOURNAL OF XIAOGAN UNIVERSITY, 2005, 25(6): 45-49 |
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| Authors: | ZHANG Yun-zhang |
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| Affiliation: | Department of Mathematics and Computer Science, Yunnan Nationnalities University, Kunming , Yunnan 650031, China |
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| Abstract: | The solving problems of various equations are usually transformed to the solving problems of the fixed points in mapping, and the successive-approximation method is widely used to solve the problems of fixed points. The paper describes this method from the point of metric space and compression-mapping, and presents some of its applications. |
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| Keywords: | compression-mapping fixed points metric space successive-approximation method |
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