| 平均迭代压缩映象的不动点定理 |
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| 引用本文： | 杜军. 平均迭代压缩映象的不动点定理[J]. 淮海工学院学报, 1997, 6(2): 18-20 |
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| 作者姓名： | 杜军 |
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| 作者单位： | 淮海工学院基础系!连云港,222005 |
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| 摘 要： | 剖析文（１）的定义,指出“平均迭代压缩映象”不是更广义的压缩映象,举出反映说明文（１）结论不正确,并给出此类映象存在唯一不动点的条件。
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| 关 键 词： | 压缩映象 不动点定理 平均迭代映象 |
Fixed Point Theorem of the Average Iteration Contraction Mapping |
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| Du Jun. Fixed Point Theorem of the Average Iteration Contraction Mapping[J]. Journal of Huaihai Institute of Technology:Natural Sciences Edition, 1997, 6(2): 18-20 |
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| Authors: | Du Jun |
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| Abstract: | This paper analysed the definition of paper[1] and POinted out that "the average iteration contraction mapping" was not a contraction mapping in a broader sense. A counter example is given to explain the incorrectness of the conclusion in paper[1]. Finally, the conditions are given for the existence of fixed points in this kind of mapping. |
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| Keywords: | average iteration contraction mapping complete metric spaces fixed point |
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