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可数非扩张映像族公共不动点迭代算法
引用本文:何松年,王冬园.可数非扩张映像族公共不动点迭代算法[J].中国民航学院学报,2011(5):60-64.
作者姓名:何松年  王冬园
作者单位:中国民航大学理学院,天津300300
基金项目:中央高校基本科研业务费专项资金资助项目(ZXH2011D005)
摘    要:提出一种计算可数个非扩张映像族公共不动点的新的迭代算法,并证明了算法的强收敛性。本算法由于避免使用形一映像,因而使得算法简洁,计算工作量较小。

关 键 词:非扩张映像  强收敛  不动点  Hilbert空间

Iterative Algorithm for Common Fixed Points of Infinitely Many Nonexpansive Mappings
HE Song-nian,WANG Dong-yuan.Iterative Algorithm for Common Fixed Points of Infinitely Many Nonexpansive Mappings[J].Journal of Civil Aviation University of China,2011(5):60-64.
Authors:HE Song-nian  WANG Dong-yuan
Institution:(College of Science, CAUC, Tianjin 300300, China)
Abstract:A new iterative algorithm is proposed for finding the common fixed points of infinitely many nonexpansive mappings and the strong convergence of the algorithm is proved. Because of having noting to do with the Wmapping, this algorithm is simplifyied and needs less computational work.
Keywords:nonexpansive mapping  strong convergence  tixed point  Hilbert space
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