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Hilbert空间中非扩张映射带误差项的Ishikawa迭代序列
引用本文:沈金良,黄建华.Hilbert空间中非扩张映射带误差项的Ishikawa迭代序列[J].福州大学学报(自然科学版),2008,36(5):630-633.
作者姓名:沈金良  黄建华
作者单位:福州大学数学与计算机科学学院,福建,福州,350002
基金项目:福建省自然科学基金,福州大学校科研和教改项目 
摘    要:讨论了Hilbert空间中非扩张映射修正的带误差项的Ishikawa迭代序列的强收敛和弱收敛性质,并且给出了该迭代序列强收敛和弱收敛于不动点的充分条件.

关 键 词:非扩张映射  误差项  Ishikawa迭代  Hilbert空间

Ishikawa iteration process with errors for nonexpansive mappings in Hilbert spaces
SHEN Jin-liang,HUANG Jian-hua.Ishikawa iteration process with errors for nonexpansive mappings in Hilbert spaces[J].Journal of Fuzhou University(Natural Science Edition),2008,36(5):630-633.
Authors:SHEN Jin-liang  HUANG Jian-hua
Institution:(College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,Chian)
Abstract:In this paper,strong and weak convergence properties are studied for a modified Ishikawa iteration with errors for nonexpansive mapping in Hilbert space.In addition,we obtain some conditions that the sequences converge strongly and weakly to some fixed point of given mapping.
Keywords:nonexpansive mapping  errors  Ishikawa iteration  Hilbert space
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