| 关于非线性方程x+tx=f解的具误差项的Ishikawa迭代过程的稳定性 |
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| 引用本文： | 谷峰. 关于非线性方程x+tx=f解的具误差项的Ishikawa迭代过程的稳定性[J]. 西南师范大学学报(自然科学版), 2003, 28(5): 741-745 |
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| 作者姓名： | 谷峰 |
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| 作者单位： | 齐齐哈尔大学,数学系,黑龙江,齐齐哈尔,161006 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目(10511132). |
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| 摘 要： | 在一般的Banach空间中证明了非线性方程x tx=f的解的具误差的Ishikawa迭代过程的新的稳定性定理，推广和改进了近期的一系列相关结果．
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| 关 键 词： | 非线性方程 Banach空间 解 Ishikawa迭代过程 稳定性 增生算子 不动点 |
| 文章编号： | 1000-5471(2003)05-0741-05 |
| 修稿时间： | 2002-12-16 |
Stability of the Ishikawa Iteration Procedure with Errore for Solution of the Nonlinear Equation x+Tx=f |
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| GUFeng Dept. of Mathematics,Qiqihaer University,Qiqihaer Heilongjiang ,China. Stability of the Ishikawa Iteration Procedure with Errore for Solution of the Nonlinear Equation x+Tx=f[J]. Journal of southwest china normal university(natural science edition), 2003, 28(5): 741-745 |
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| Authors: | GUFeng Dept. of Mathematics Qiqihaer University Qiqihaer Heilongjiang China |
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| Affiliation: | GUFeng Dept. of Mathematics,Qiqihaer University,Qiqihaer Heilongjiang 161006,China |
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| Abstract: | The author proves some new stability theorems of the Ishikawa iteration procedure with errors for solution of the nonlinear equation x+Tx=f and strongly hemicontractive operator in general Banach spaces. And some recent results were extendeal and improved. |
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| Keywords: | stability accretive operator Ishikawa iteration procedure nonlinear equation Banach space |
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