| R~n上非膨胀映射的周期点 |
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| 引用本文： | 于凯.R~n上非膨胀映射的周期点[J].成都信息工程学院学报,1990(Z1). |
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| 作者姓名： | 于凯 |
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| 作者单位： | 成都气象学院基础课部 |
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| 摘 要： | 本文证明了:R到自身的非膨胀映射f的周期点集S是一凸集;f限制在S上是一等距映射;f至多有2~{n/2}个不同周期的周期点,其中{n/2}是不小于n/2的最小整数。
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| 关 键 词： | 动力系统 非膨胀映射 周期点 不动点 |
THE PERIODIC POINTS OF NON-EXPANSIVE MAPPINGS INR~n |
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| Yu Kai.THE PERIODIC POINTS OF NON-EXPANSIVE MAPPINGS INR~n[J].Journal of Chengdu University of Information Technology,1990(Z1). |
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| Authors: | Yu Kai |
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| Abstract: | If / is a non-expansive mapping that Rninto itself, then the set S of all periodic points of / is a convex set,and ,and there are at most 2{n/2}'periodic points of /
which have different period,where{n/2}is a integer,such that. . |
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| Keywords: | Dynanucal system Non-expansive mapping Periodic point Fixed point |
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