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增生算子方程的具误差的Ishikawa迭代序列的强收敛定理 被引量：4

STRONG CONVERGENCE THEOREMS OF ISHIKAWA ITERATION METHOD WITH ERRORS FOR EQUATIONS INVOLVING ACCRETIVE OPERATORS
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摘要 本文研究了Banach空间中Lipschitz的增生算子T的方程的解的迭代逼近问题.利用Ishikawa迭代法,证明了具误差的Ishikawa迭代序列强收敛到方程的唯一解,得到了一般的收敛率估计式. The purpose of this paper is to investigate the iterative approximation problem of solution of the equation for the Lipschitz accretive operator T in Banach spaces. The authors prove that the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation. Moreover, our result provides a general convergence rate estimate for such a sequence.
作者 王绍荣 熊明
机构地区 大理学院数学与计算机学院
出处 《数学杂志》 CSCD 北大核心 2008年第1期39-44,共6页 Journal of Mathematics
基金 云南省教育厅科研基金项目(KY416140)
关键词 实BANACH空间 增生算子 迭代序列 收敛率估计 real Banach space accretive operator Ishikawa iterative process with errors convergence rate estimate
分类号 O177.91 [理学—基础数学]
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参考文献7

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  • 5曾六川.Banach空间中关于增生算子方程的迭代法的强收敛定理[J].数学年刊（A辑）,2003,24(2):231-238. 被引量：13
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二级参考文献15

  • 1曾六川.Lipschitz局部强增殖算子的非线性方程的解的迭代构造[J].应用数学和力学,1995,16(6):543-552. 被引量：12
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  • 10Zeng, L. C., Error bounds for approximation solutions to nonlinear equations of strongly accretive operators in uniformly smooth Banach spaces [J], J. Math. Anal. Appl., 209(1997), 67-80.

共引文献12

同被引文献41

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二级引证文献10

数学杂志
2008年 第1期

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