| 单调增加函数存在连续不动点的注记 |
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| 引用本文： | 程兰芳,刘立新.单调增加函数存在连续不动点的注记[J].河北农业大学学报,2000,23(1):98-100. |
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| 作者姓名： | 程兰芳 刘立新 |
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| 作者单位： | 1. 河北农业大学基础科学系,河北保定,071001
2. 华北电力大学基础科学系,河北保定,071003 |
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| 摘 要： | 利用区间套的方法给出了单调增加函数存在连续不动点的充分条件 ,并且给出了王良成于 1 994年建立的三个定理的一个综合证法
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| 关 键 词： | 单调函数 不动点 连续 区间套 定理 函数论 |
| 文章编号： | 1000-1573(2000)01-0098-03 |
A remark on the fixed continuous point for monotonous increasing function |
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| CHENG Lan-fang,LIU Li-xin.A remark on the fixed continuous point for monotonous increasing function[J].Journal of Agricultural University of Hebei,2000,23(1):98-100. |
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| Authors: | CHENG Lan-fang LIU Li-xin |
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| Institution: | CHENG Lan-fang
(Departmen of Basic Courses, Agricultural University of Hebei, Baoding 071001,China)LIU Li-xin
(Department of Basic Courses, North China Electric Power University, Baoding 071003,China) |
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| Abstract: | This paper gives not only a sufficient condition, by considering some sequence of closed intervals,that the monotonous increasing function has a continuous fixed point, but also a comprehensive proof for three theorems given by Wang Liang-cheng in 1994. |
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| Keywords: | monotonous function fixed point continuous |
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