| 拟非扩张映像族的公共不动点的迭代方法 |
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| 引用本文： | 张安,郭金题,周海云.拟非扩张映像族的公共不动点的迭代方法[J].数学的实践与认识,2010,40(16). |
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| 作者姓名： | 张安 郭金题 周海云 |
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| 摘 要： | 引入了修正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.使用新的算法证明了几个强收敛定理.新算法的优点是不要求映像具有次闭性质.
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| 关 键 词： | 拟非扩张映像族 闭映像 修正的杂交投影算法 Hilbert空间 强收敛 |
An Iterative Algorithm on Common Fixed Points for a Family of Quasi-Nonexpansive Mappings |
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| ZHANG An,GUO Jin-ti,ZHOU Hai-yun.An Iterative Algorithm on Common Fixed Points for a Family of Quasi-Nonexpansive Mappings[J].Mathematics in Practice and Theory,2010,40(16). |
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| Authors: | ZHANG An GUO Jin-ti ZHOU Hai-yun |
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| Abstract: | In this paper,a modified hybrid projection iterative algorithms is introduced for constructing commn fixed points of a family of closed quasi-nonexpansive mappings in Hilbert spaces.With the modified iterative algorithm,several strong convergence theorems are proved. The main advantage of the new algorithms lies in the fact that the strong convergence results are obtained without making use of demi-closedness property for mappings considered here. |
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| Keywords: | A family of quasi-nonexpansive mappings closed mapping modified hybrid projection algorithm Hilbert space strong convergence |
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