| 不动点原理与递推数列的极限 |
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| 引用本文： | 施伟民,荣维坚.不动点原理与递推数列的极限[J].泉州师范学院学报,2009,27(6):14-16. |
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| 作者姓名： | 施伟民 荣维坚 |
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| 作者单位： | 1. 泉州师范学院,理工学院,福建,泉州,362000
2. 漳州师范学院,数学系,福建,漳州,363000 |
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| 摘 要： | 递推数列的极限问题，常是用单调有界原理来解决．但当递推数列不是单调时，其方法失效．文章利用不动点原理的思想，得到解决递推数列极限的存在性问题的一个定理，使得其解法变得更为有效且简洁．
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| 关 键 词： | 递推数列 压缩映射 不动点原理 |
Principle of Fixed Point and Limit of Recurrent Sequence of Numbers |
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| SHI Wei-min,RONG Wei-jian.Principle of Fixed Point and Limit of Recurrent Sequence of Numbers[J].Journal of Quanzhou Normal College,2009,27(6):14-16. |
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| Authors: | SHI Wei-min RONG Wei-jian |
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| Institution: | 1. School of Science, Quanzhou Normal University, Fujian a6z000,China 2. Department of Mathematics, Zhangzhou Normal University, Fujian 363000, China) |
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| Abstract: | A new theorem on the fixed point principle is obtained and the problem on the existence and calculation for the recurrent sequence of numbers is resolved effectively by making use of the theorem. |
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| Keywords: | recurrent sequence reduce mapping principle of fixed point |
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