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Hilbert空间中拟非扩张映像族公共不动点的迭代算法
引用本文:何斌,陈东青,周宇.Hilbert空间中拟非扩张映像族公共不动点的迭代算法[J].军械工程学院学报,2011(1):76-78.
作者姓名:何斌  陈东青  周宇
作者单位:军械工程学院基础部,河北石家庄050003
摘    要:给出了Hilbert空间中拟非扩张映像族公共不动点的一个杂交投影算法,使用修正的杂交投影迭代算法,证明了一个强收敛定理,扩展了文献的结果。

关 键 词:Hilbert空间  拟非扩张映像  投影算法  公共不动点

Iteration Methods for Fixed Points of Common Family of Quasi-Nonexpansive Mapping in Hilbert Spaces
HE Bin,CHEN Dong-qing,ZHOU Yu.Iteration Methods for Fixed Points of Common Family of Quasi-Nonexpansive Mapping in Hilbert Spaces[J].Journal of Ordnance Engineering College,2011(1):76-78.
Authors:HE Bin  CHEN Dong-qing  ZHOU Yu
Institution:(Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003, China)
Abstract:This paper introduces the modified hybrid projection for fixed points of common family of quasi-nonexpansive mapping in Hilbert spaces. Then the strong convergence theorem is proved by the modified algorithm. The result which is presented in this paper extends those obtained in reference.
Keywords:Hilbert spaces  quasi-nonexpansive map  hybrid projection  common fixed point
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