| 关于拟非扩张映像族的强收敛定理 |
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| 引用本文： | 白治虎,高兴慧. 关于拟非扩张映像族的强收敛定理[J]. 延安大学学报(自然科学版), 2011, 30(3): 25-27,35 |
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| 作者姓名： | 白治虎 高兴慧 |
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| 作者单位： | 延安大学数学与计算机科学学院,陕西延安,716000 |
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| 基金项目： | 陕西省教育厅科研计划项目 |
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| 摘 要： | 引入新的杂交投影迭代算法,用来构造Hilbert空间中拟非扩张映像族的公共不动点.利用所提出的杂交投影迭代算法证明了拟非扩张映像族的公共不动点的强收敛定理,所得结果是近期相关结果的改进。
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| 关 键 词： | 闭映像 杂交投影算法 拟非扩张映像族 Hilbert空间 强收敛 |
Strong Convergence Theorem for a Family of Quasi-nonexpansive Mappings |
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| BAI Zhi-hu,GAO Xing-hui. Strong Convergence Theorem for a Family of Quasi-nonexpansive Mappings[J]. Journal of Yan'an University(Natural Science Edition), 2011, 30(3): 25-27,35 |
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| Authors: | BAI Zhi-hu GAO Xing-hui |
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| Affiliation: | BAI Zhi-hu,GAO Xing-hui(College of Mathematics and Computer Science,Yan an University,Yan an 716000,China) |
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| Abstract: | A new hybrid projection iterative algorithm is introduced for constructing common fixed points of a family of closed quasi-nonexpansive mappings in a Hilbert space.Using the proposed new hybrid projection iterative algorithm,a strong convergence theorem of common fixed points for a family of quasi-nonexpansive mappings is proved,and the results of this paper improve some existing relative results. |
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| Keywords: | closed mappings hybrid projection algorithm a family of quasi-nonexpansive mappings Hilbert space strong convergence |
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