| 第Ⅱ、Ⅲ型膨胀映射的不动点定理 |
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| 引用本文： | 何松年.第Ⅱ、Ⅲ型膨胀映射的不动点定理[J].中国民航学院学报,2004,22(5):50-51,54. |
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| 作者姓名： | 何松年 |
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| 作者单位： | 中国民用航空学院理学院 天津300300 |
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| 基金项目： | 中国民航总局中青年教育研究基金资助项目(01-3-01) |
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| 摘 要： | 3种膨胀映射的定义及其相应的不动点定理是由王尚志等首先提出和建立的。之后，何松年对第一型膨胀映射的不动点定理做了进一步讨论，现报道膨胀映射不动点定理研究工作的继续和深入。着重进一步研究第二型和第三型膨胀映射的不动点定理，给出了两个理论上更深刻、应用上更方便的新结果。
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| 关 键 词： | 压缩映射 膨胀映射 完备度量空间 不动点 |
| 文章编号： | 1001-5000(2004)05-0050-02 |
Fixed Point Theorems on Ⅱ, Ⅲ Expansion Mappings |
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| HE,Song-nian.Fixed Point Theorems on Ⅱ, Ⅲ Expansion Mappings[J].Journal of Civil Aviation University of China,2004,22(5):50-51,54. |
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| Authors: | HE Song-nian |
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| Abstract: | Three kinds of expansion mappings and relevant fixed-point theorems were initiated and proved by Wang Shangzhi. The first kind of fixed-point theorems on the expansion mappings was developed by He Songnian.This paper continues the research on the second and third expansion mappings.Two results are given in the paper that are theoretically profound and more convenient in application of the theorem. |
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| Keywords: | contraction operator expansion operator complete metric space fixed-point |
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