| 一类迭代函数方程的连续解 |
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| 引用本文： | 王新平,司建国. 一类迭代函数方程的连续解[J]. 数学学报, 1999, 42(5): 945-950. DOI: cnki:ISSN:0583-1431.0.1999-05-025 |
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| 作者姓名： | 王新平 司建国 |
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| 作者单位： | 滨州师范专科学校,滨州,256604 |
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| 摘 要： | 本文用Schauder和Banach不动点定理讨论了一类非多项式形式的迭代函数方程的连续解的存在性唯一性与稳定性，其结果推广了文[1]工作．
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| 关 键 词： | 迭代函数方程 连续解 不动点定理 |
| 修稿时间： | :1998-07-2 |
Continuous Solutions of an Iterative Functional Equation |
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| Wang Xinping,Si Jianguo. Continuous Solutions of an Iterative Functional Equation[J]. Acta Mathematica Sinica, 1999, 42(5): 945-950. DOI: cnki:ISSN:0583-1431.0.1999-05-025 |
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| Authors: | Wang Xinping Si Jianguo |
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| Affiliation: | Wang Xinping; Si Jianguo (Department of Mathematics, Binzhou Normal College, Binzhon 256604, P. R. China) |
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| Abstract: | Using Schauder and Banach's fixed point theorems, in this paper we discuss the existence, uniqueness and stability of continuous solutions of an iterative functional equation not in the polynomial-like form and extend the results of [1]. |
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| Keywords: | Iterative functional equation Continuous solutions Fixed point theorems |
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