关于κ-次增生算子方程的具误差的Ishikawa迭代解

  • 刘英 ,
  • 何震
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  • 河北大学,数学与计算机学院,河北,保定 071002

网络出版日期: 2008-05-25

Convergence of Ishikawa Iterative Sequences with Errors for k-Subaccretive Operators

  • LIU Ying ,
  • HE Zhen
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Online published: 2008-05-25

摘要

在任意Banach空间中,研究了非线性算子方程x + TX=f的分别带2种误差的Ishikawa迭代序列的收敛性问题,其中T不必是增生的,也不必是Lipschitz的.

本文引用格式

刘英 , 何震 . 关于κ-次增生算子方程的具误差的Ishikawa迭代解[J]. 河北大学学报(自然科学版), 2008 , 28(3) : 237 -239 . DOI: 10.3969/j.issn.1000-1565.2008.03.005

参考文献

[1] Liu LS.. Ishikawa-type and Mann-type iterative processes with errors for constructing solutions of nonlinear equations involving m-accretive operators in Banach spaces [J]. Nonlinear Analysis: An International Multidisciplinary Journal 1998, 2(2).
[2] XLI Y G. Ishikawa and Mann iterative process with errors for nonlinear strongly accretive operator equations [J]. Journal of Mathematical Analysis and Applications 1998, 224.
[3] CHIDUME C E, OSILIKE M O. Iterative solutions of nonlinear accretive operator equations in arbitrary Banach spaces [J]. Nonlinear Analysis 1999, 36.
[4] 刘英. 在任意Banach空间关于κ-次增生算子方程的迭代解 [J]. 河北大学学报(自然科学版) 2002, 22(zk).
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