| 含有k-次增生算子T的方程x+Tx=f的带误差的Ishikawa迭代解 |
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| 引用本文： | 徐承璋.含有k-次增生算子T的方程x+Tx=f的带误差的Ishikawa迭代解[J].四川师范大学学报(自然科学版),2004,27(2). |
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| 作者姓名： | 徐承璋 |
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| 作者单位： | 渝西学院,数学与计算机科学系,重庆,永川,402168 |
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| 基金项目： | 重庆教委科学技术研究项目基金资助 |
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| 摘 要： | 建立了强收敛于方程x Tx=f的解的带误差的Ishikawa迭代过程,其中T是一致光滑Banach空间中的一个在D(T)既不必有界又不必连续(因而不必Lipschitz)的k 次增生算子,推广了一些已有的结果.
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| 关 键 词： | 一致光滑的Banach空间 k-次增生算子 非线性方程 带误差的Ishikawa迭代过程 |
The Ishikawa Iterative Process with Errors for the Solution of the Equation x + Tx = f for a k-subaccretive Operator T |
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| XU Cheng-zhang.The Ishikawa Iterative Process with Errors for the Solution of the Equation x + Tx = f for a k-subaccretive Operator T[J].Journal of Sichuan Normal University(Natural Science),2004,27(2). |
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| Authors: | XU Cheng-zhang |
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| Abstract: | In this paper, the strong convergence of Ishikawa iterative process with errors for a solution of the equation x Tx=f is established, where T is a k-subaccretive operator in a uniformly smooth Banach space which is neither bound nor continuous (therefore nor Lipschitzian) on D(T). Some well-known results are generalized. |
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| Keywords: | Uniformly smooth Banach space k-subaccretive operator Nonlinear equation Ishikawa iterative processes with errors |
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