3种迭代收敛的等价性

石金玮; 郑亚勤

doi:10.3969/j.issn.1000-1565.2005.01.005

河北大学学报(自然科学版) >

2005 , Vol. 25 >Issue 1: 16 - 19

DOI: https://doi.org/10.3969/j.issn.1000-1565.2005.01.005

3种迭代收敛的等价性

石金玮 ,
郑亚勤

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1.河北大学,数学与计算机学院,河北,保定,071002； 2.河北农业大学,理学院,河北,保定,071001

网络出版日期: 2005-01-25

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Equivalence Among the Convergence of Three Kinds of Iterations

SHI Jin-wei ,
ZHENG Ya-qin

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Online published: 2005-01-25

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摘要

当T是强逐次伪压缩映射时,3种迭代(改进的Mann迭代,改进的Ishikawa迭代和改进的3重迭代)的收敛性是等价的.

关键词： 改进Mann迭代; 改进Ishikawa迭代; 改进的三重迭代; 强逐次伪压缩映射

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石金玮 , 郑亚勤 . 3种迭代收敛的等价性[J]. 河北大学学报(自然科学版), 2005 , 25(1) : 16 -19 . DOI: 10.3969/j.issn.1000-1565.2005.01.005

参考文献

[1] ISHIKAWA S. Fixed points by new iteration method [J]. Proceedings of the American Mathematical Society 1974, 44.
[2] MANN W R. Mean value in iteration [J]. American Mathematical Society 1953, 4.
[3] Rhoades BE., Soltuz SM.. The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps [J]. Journal of Mathematical Analysis and Applications 2004, 1(1).
[4] Noor MA., Rassias TM., Huang ZY.. Three-step iterations for nonlinear accretive operator equations [J]. Journal of Mathematical Analysis and Applications 2002, 1(1).
[5] WENG X. Fixed point iteration for local strictly pseudocontractive mapping [J]. Proceedings of the American Mathematical Society 1991, 113.

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