| 关于强增生算子的带误差项的Ishikawa和Mann迭代程序的注记 |
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| 引用本文： | 张国伟,宋叔尼.关于强增生算子的带误差项的Ishikawa和Mann迭代程序的注记[J].应用数学,2000,13(3):63-66. |
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| 作者姓名： | 张国伟 宋叔尼 |
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| 作者单位： | 东北大学数学系,沈阳,110006 |
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| 基金项目： | Project supported by Science and Technology Foundation of L iaoning Province! (972 2 0 1) |
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| 摘 要： | 设Ｘ是实Ｂａｎａｃｈ空间，Ｈ：Ｘ→Ｘ是Ｌｉｐｓｃｈｉｔｚ算子，Ｔ：Ｘ→Ｘ是值域有界且一致连续的算子，Ｈ＋Ｔ是强增生算子，则具有误差项的Ｉｓｈｉｋａｗａ和Ｍａｎｎ迭代序列强收敛到方程Ｈｘ＋Ｔｘ＝ｆ的唯一解，这些结论推广了最新文献中的相应结果。
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| 关 键 词： | Mann迭代 强境生算子 误差项 Ishikawa迭代 |
A Note on Ishikawa and Mann Iterative Processes with Errors for Strongly Accretive Operators |
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| Zhang Guowei,Song Shuni.A Note on Ishikawa and Mann Iterative Processes with Errors for Strongly Accretive Operators[J].Mathematica Applicata,2000,13(3):63-66. |
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| Authors: | Zhang Guowei Song Shuni |
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| Abstract: | Suppose X is a real Banach space and H∶X→X is a Lipschitz operator, T∶X→X uniformly continuous with the bou nded range and H+T strongly accretive, then the Ishikawa and Mann iterative processes with errors converge strongly to the unique solution of the equation Hx+Tx=f. These conclusions extend the corresponding results in recent papers . |
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| Keywords: | Ishikawa and Mann Iteration Lipschitz Operator Uniformly Continuous Strongly Accretive Operator |
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