| Banach空间中闭的拟Φ-严格伪压缩映像对公共不动点的迭代方法 |
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| 引用本文： | 唐西南,周海云,彭威,郑坚.Banach空间中闭的拟Φ-严格伪压缩映像对公共不动点的迭代方法[J].数学的实践与认识,2012,42(9):231-236. |
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| 作者姓名： | 唐西南 周海云 彭威 郑坚 |
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| 作者单位： | 军械工程学院基础部,河北石家庄,050003 |
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| 摘 要： | 在自反、严格凸、具有(K)性质光滑Banach空间中,提出了一种杂交投影迭代算法,并证明了该算法强收敛到其公共不动点,改进并推广了Zhou的相关工作.
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| 关 键 词： | 收缩杂交投影算法 拟Φ-严格伪压缩映像对 公共不动点 |
An Iterative Method of Common Fixed Points for a Pair of Closed and Quasi-φ-strict Pseudo-contractions in Banach Spaces |
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| TANG Xi-nan
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ZHOU Hai-yun
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PENG Wei
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ZHENG Jian.An Iterative Method of Common Fixed Points for a Pair of Closed and Quasi-φ-strict Pseudo-contractions in Banach Spaces[J].Mathematics in Practice and Theory,2012,42(9):231-236. |
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| Authors: | TANG Xi-nan ZHOU Hai-yun PENG Wei ZHENG Jian |
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| Institution: | (Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | The purpose of this paper is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for a pair of closed and quasi-φ-strict pseudo-contractions in reflexive,strictly convex and smooth Banach spaces with the property(K). The results improve and extend the corresponding ones by Zhou. |
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| Keywords: | shrinking hybrid projection algorithm a pair of closed and quasi-φ-strict pseudo-contractions common fixed point |
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