| Hilbert空间中拟非扩张映像族的逼近定理 |
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| 引用本文： | 高兴慧,周海云. Hilbert空间中拟非扩张映像族的逼近定理[J]. 武汉大学学报(理学版), 2011, 57(2) |
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| 作者姓名： | 高兴慧 周海云 |
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| 作者单位： | 1. 延安大学数学与计算机科学学院,陕西,延安,716000
2. 石家庄军械工程学院数学系,河北,石家庄,050003 |
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| 基金项目： | 国家自然科学基金资助项目(10771050) |
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| 摘 要： | 在Hilbert空间中,设计了一种新算法用以逼近拟非扩张映像族的公共不动点,并利用所提出的算法证明了拟非扩张映像族的公共不动点的逼近定理,所得结果改进和推广了一些最近文献的相关结果.
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| 关 键 词： | 拟非扩张映像族 不动点 逼近性 Hilbert空间 |
Approximating Theorems for a Family of Quasi-Nonexpansive Mappings in a Hilbert Space |
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| GAO Xinghui,ZHOU Haiyun. Approximating Theorems for a Family of Quasi-Nonexpansive Mappings in a Hilbert Space[J]. JOurnal of Wuhan University:Natural Science Edition, 2011, 57(2) |
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| Authors: | GAO Xinghui ZHOU Haiyun |
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| Affiliation: | GAO Xinghui1,ZHOU Haiyun2(1.College of Mathematics and Computer Science,Yan'an University,Yan'an 716000,Shaanxi,China,2.Department of Mathematics,Shijiazhuang Mechanical Engineering College,Shijiazhuang 050003,Hebei,China) |
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| Abstract: | In this paper,we propose a new algorithm of common fixed points for a family of quasi-nonexpansive mappings in a Hilbert space.By using the proposed algorithm,we study the approximation of common fixed points for a family of quasi-nonexpansive mappings.The results of this paper improve and extend the recent corresponding results. |
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| Keywords: | a family of quasi-nonexpansive mappings fixed point approximation Hilbert spaces |
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