| 压缩映象原理的应用 |
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| 引用本文： | 姜文英.压缩映象原理的应用[J].衡水学院学报,2004,6(2):8-9. |
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| 作者姓名： | 姜文英 |
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| 作者单位： | 衡水师范专科学校,数学系,河北,衡水,053000 |
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| 摘 要： | 在代数方程、微分方程和积分方程的求解问题中,通常把所求的解归结为度量空间中映射的不动点,然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。
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| 关 键 词： | 不动点 度量空间 压缩映象 方程解 |
| 文章编号： | 1008-6900(2004)02-0008-02 |
| 修稿时间： | 2004年4月26日 |
The Application of Contraction Mapping Principle |
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| JIANG Wen-ying.The Application of Contraction Mapping Principle[J].Journal of Hengshui University,2004,6(2):8-9. |
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| Authors: | JIANG Wen-ying |
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| Abstract: | In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution. |
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| Keywords: | fixed point metric space contraction mapping solution of equation |
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