| 压缩映象原理的证明及应用 |
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| 引用本文： | 张卿.压缩映象原理的证明及应用[J].衡水学院学报,2008,10(1):3-4. |
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| 作者姓名： | 张卿 |
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| 作者单位： | 衡水学院,数学与计算机科学系,河北,衡水,053000 |
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| 摘 要： | 压缩映象原理是泛函分析中一个最常用、最简单的存在性定理,作为其特殊情形可用来研究某类递推数列的敛散性.这里给出了这个定理的两种证明方法并举例说明如何利用它求一类递推数列的极限.
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| 关 键 词： | 压缩映象 递推数列 极限 |
| 文章编号： | 1673-2065（2008）01-0003-02 |
| 收稿时间： | 2007-10-12 |
| 修稿时间： | 2007年10月12 |
Proof and Application of Contraction Mapping Principle |
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| ZHANG Qing.Proof and Application of Contraction Mapping Principle[J].Journal of Hengshui University,2008,10(1):3-4. |
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| Authors: | ZHANG Qing |
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| Abstract: | Contraction mapping principle is the most common and simplest existence theorem of functional analysis.As a special situation,the convergence and divergence of a recurrence sequence can be studied with.Two methods of proving and some examples are given to illustrate how to solve limit of a recurrence sequences. |
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| Keywords: | contraction mapping recurrence sequences limit |
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