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关于m-增生算子的Ishikawa迭代程序的收敛性与稳定性(英文)

Convergence and Almost Stability of Ishikawa Iterative Scheme with Errors for m-accretive Operators
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摘要 在任意的Banach空间的条件下,具误差的Ishikawa迭代程序强收敛到非线性方程x+Tx=f的唯一解并且是几乎稳定的.其结果推广、改进和统一了Zeng和Liu的相关结果. It is proved that under suitable conditions, the Ishikawa iterative scheme with random errors both convergence strongly to the unique solution of the nonlinear equation x+ Tx=land is almost stable in an arbitrary real Banach space. The results presented in this paper generalize and improve the corresponding results of Zeng and Liu.
作者 王学武
出处 《应用数学》 CSCD 北大核心 2009年第1期155-160,共6页 Mathematica Applicata
关键词 具误差的Ishikawa迭代程序 M-增生算子 强收敛 几乎稳定 Ishikawa iteration sequence with errors m-accretive operator Strong convergence Almost stability
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参考文献11

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