| 关于Lipschitz强增生算子的迭代程序 |
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| 引用本文： | 李育强,刘理蔚.关于Lipschitz强增生算子的迭代程序[J].数学学报,1998,41(4):845-850. |
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| 作者姓名： | 李育强 刘理蔚 |
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| 作者单位： | 南昌大学数学系 |
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| 摘 要： | 本文在一般的Ｂａｎａｃｈ空间中讨论Ｌｉｐｓｃｈｉｔｚ强增生算子方程解和严格伪压缩算子不动点的迭代逼近问题．我们的结果统一和推广了Ｄｅｎｇ，Ｌｉｕ，Ｔａｎ和Ｘｕ的结果，完整地回答了Ｃｈｉｄｕｍｅ提出的公开问题．
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| 关 键 词： | 强增生算子，严格伪压缩映射，带误差的Ishikawa迭代 |
On Iterative Process for Lipschitz Strongly Accretive Operators |
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| Li Yuqiang,Liu Liwei.On Iterative Process for Lipschitz Strongly Accretive Operators[J].Acta Mathematica Sinica,1998,41(4):845-850. |
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| Authors: | Li Yuqiang Liu Liwei |
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| Institution: | Li Yuqiang Liu Liwei (Department of Mathematics, Nanchang University, Nanchang 330047, China) |
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| Abstract: | In this paper, we discuss problem of iterative approximation of solutions of the equation for Lipschitz strongly accretive operators and of fixed points for Lipschitz strictly pseudocontractive mappings. Our results unify, improve and extends the results of Deng, Liu, Tan and Xu, and answer completely the open problems mentioned by Chidume. |
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| Keywords: | Strongly accretive operator Strictly preudocontractive mapping Ishikawa iteration process with error |
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