| 单调自映射不动点的存在性及不动点处的连续性 |
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| 引用本文： | 彭翠英,曹红妍.单调自映射不动点的存在性及不动点处的连续性[J].青岛科技大学学报,2007,28(2):180-181. |
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| 作者姓名： | 彭翠英 曹红妍 |
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| 作者单位： | 青岛科技大学数理学院,山东青岛266061 |
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| 摘 要： | 讨论了单调自映射的不动点存在性,给出了不动点存在性和唯一性的条件,并讨论了在不动点处自映射的连续性。证法具有一般性,可推广到一般的凸集上。
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| 关 键 词： | 单调自映射 不动点 不动点连续性 |
| 文章编号： | 1672-6987(2007)02-0180-02 |
| 修稿时间： | 2006年3月1日 |
Existence of the Fixed Point and Continuty of the Monotonous Self-mapping |
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| PENG Cui-ying,CAO Hong-yan.Existence of the Fixed Point and Continuty of the Monotonous Self-mapping[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,2007,28(2):180-181. |
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| Authors: | PENG Cui-ying CAO Hong-yan |
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| Abstract: | The existence of the fixed point of the monotonous self-mapping is discussed in this paper.The uniqueness conditions of existence of the fixed point are put forward.We also discuss the continuity of its self-mapping.This method can be extended to any convex set. |
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| Keywords: | monotous self-mapping fixed point continuity of fixed point |
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