| 关于Shimoji and Takahashi一个定理的简单证明 |
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| 引用本文： | 周海云,马丙坤,谈斌. 关于Shimoji and Takahashi一个定理的简单证明[J]. 应用泛函分析学报, 2009, 11(4): 289-293 |
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| 作者姓名： | 周海云 马丙坤 谈斌 |
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| 作者单位： | 军械工程学院,基础部,石家庄,050003 |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10671205） and Technology Foundation of China University of Mining and Technology （OK060156） |
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| 摘 要： | 目的是在一般Banach空间中建立一个无限可数多个非扩张映像族的公共不动点的强收敛定理．使用一些新的分析技巧，尤其是Dotson引理和W映像技巧，给出了Shimoji and Takahashi的一个定理的简单证明．
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| 关 键 词： | 无限多个非扩张映像族 W映像 公共不动点 Dotson引理 |
A Simple Proof for a Theorem Due to Shimoji and Takahashi |
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| ZHOU Hai-yun,MA Bing-kun,TAN Bin. A Simple Proof for a Theorem Due to Shimoji and Takahashi[J]. Acta Analysis Functionalis Applicata, 2009, 11(4): 289-293 |
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| Authors: | ZHOU Hai-yun MA Bing-kun TAN Bin |
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| Affiliation: | LIU Jing-huai, SONG Xiao-qiu, LU Feng-ling (College of Science, China University of Mining and Technology, Xuzhou 221008, China ) |
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| Abstract: | By using some new analysis techniques, we give a simple proof for a theorem due to Shimoji and Takahashi. |
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| Keywords: | a family of infinitely many nonexpansive mappings W-mapping common fixed point Dotson's lemma |
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