| 关于m-增生算子的Ishikawa迭代程序的收敛性与稳定性 |
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| 引用本文： | 王学武.关于m-增生算子的Ishikawa迭代程序的收敛性与稳定性[J].应用数学,2009,22(1). |
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| 作者姓名： | 王学武 |
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| 作者单位： | 山东工商学院数学与信息科学学院,山东,烟台,264005 |
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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.
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| 关 键 词： | 具误差的Ishikawa迭代程序 m-增生算子 强收敛 几乎稳定 |
Convergence and Almost Stability of Ishikawa Iterative Scheme with Errors for m-accretive Operators |
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| WANG Xue-wu.Convergence and Almost Stability of Ishikawa Iterative Scheme with Errors for m-accretive Operators[J].Mathematica Applicata,2009,22(1). |
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| Authors: | WANG Xue-wu |
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| Abstract: | 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=f and 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. |
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| Keywords: | Ishikawa iteration sequence with errors m-accretive operator Strong convergence Almost stability |
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