| Banach空间用迭代法逼近伪压缩算子的不动点和增生算子方程的解 |
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| 引用本文： | 赵智郡.Banach空间用迭代法逼近伪压缩算子的不动点和增生算子方程的解[J].长治学院学报,2009(2). |
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| 作者姓名： | 赵智郡 |
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| 作者单位： | 忻州市第一中学,山西忻州034000 |
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| 摘 要： | 文章在实的Banach空间中证明了带误差的Ishikawa迭代序列强收敛到Lipschitz强伪压缩算子的不动点。并用带误差的Ishikawa迭代序列逼近Lipschitz强增生算子方程的解。推广文献的结果到带误差的Ishikawa迭代序列。
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| 关 键 词： | Banach空间 带误差的Isihikawad迭代序列 伪压缩算子 增生算子 不动点 算子方程 |
Iterative Sequence the Fixed Point of Pseudocontractive Operator and the Solution of Accretive Operator Equations in Banach Spaces |
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| ZHAO Zhi-jun.Iterative Sequence the Fixed Point of Pseudocontractive Operator and the Solution of Accretive Operator Equations in Banach Spaces[J].Journal of Changzhi University,2009(2). |
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| Authors: | ZHAO Zhi-jun |
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| Institution: | Xin Zhou No.1 Middle School;Xinzhou Shanxi;034000 |
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| Abstract: | In this paper,we prove that the Ishikawa iterative sequence with errors converges strongly to the fixed point of strongly pseudocontractive operator in real Banach spaces.And using the Ishikawa iterative sequences with errors approximate the solution of strongly accretive operator equations.The results presented in this paper extend the corresponding results in 6] to the Ishikawa iterative sequence with errors. |
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| Keywords: | Banach space Ishikawa iterative sequence with errors pseudocontractive operator accretive operator fixed point operator equation |
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