| 平均非扩张映射Ishikawa迭代收敛的充要条件 |
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| 引用本文： | 顾朝晖,赵志红.平均非扩张映射Ishikawa迭代收敛的充要条件[J].湖南工程学院学报(自然科学版),2012(2):58-60. |
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| 作者姓名： | 顾朝晖 赵志红 |
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| 作者单位： | 广东外语外贸大学思科信息学院;北京理工大学珠海学院数理学院 |
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| 摘 要： | 在Banach空间中研究了平均非扩张映射Ishikawa迭代的逼近问题,给出了平均非扩张映射的Ishikawa迭代的收敛的充要条件:limn→∞inf‖xn-Tyn‖=0.所得结果改进和推广了平均非扩张映射的Ishikawa迭代收敛的性质.
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| 关 键 词： | 平均非扩张映射 Ishikawa迭代 不动点 |
Necessary and Sufficient Conditions for Convergence of Ishikawa Iteration of Mean Nonexpansive Mapping |
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| GU Zhao-hui,ZHAO Zhi-hong.Necessary and Sufficient Conditions for Convergence of Ishikawa Iteration of Mean Nonexpansive Mapping[J].Journal of Hunan Institute of Engineering(Natural Science Edition),2012(2):58-60. |
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| Authors: | GU Zhao-hui ZHAO Zhi-hong |
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| Institution: | 1.Cisco School of Informatics,Guangdong University of Foreign Studies,Guangzhou 510006,China; 2.School of Science,Beijing Institute of Technology,Zhuhai 519088,China) |
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| Abstract: | The iterative approximation problems of fixed points are studied for mean nonexpansive mapping in Banach spaces.Some necessary and sufficient conditions are given for Ishikawa iterative sequence associated with mean nonexpansive mapping converge to fixed points:lim n→∞ inf‖xn-Tyn‖=0.These results improve and extend the properties of Ishikawa iterative sequence associated with the mean nonexpansive mapping converge to fixed points |
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| Keywords: | mean non-expansive mapping Ishikawa iteration fixed point |
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