| 含有k-次增生算子T的方程x Tx=f的迭代解 |
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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的迭代解[J].应用泛函分析学报,2001(4). |
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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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| 摘 要： | 在一致光滑的Ｂａｎａｃｈ空间研究了非线性算子方程ｘ＋Ｔｘ＝ｆ的迭代解．其中Ｔ不必是增生的，也不必是Ｌｉｐｓｃｈｉｔｚｉａｎ的．从而推广了一些已知的结果．
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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 迭代解 |
The Iterative Solution of the Equation x Tx=f for a k-Subaccretive Operator T |
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| XU Cheng-zhang.The Iterative Solution of the Equation x Tx=f for a k-Subaccretive Operator T[J].Acta Analysis Functionalis Applicata,2001(4). |
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| Authors: | XU Cheng-zhang |
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| Abstract: | In this paper, the iterative solution is studied for the equation x Tx=f with a k-subaccretive operator T in a uniformly smooth Banach spaces, where T is neither necessarily accretive nor Lipschitzian. Some well-known reslts are generalized. |
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| Keywords: | uniformly smooth Banach space k-subaccretive operator nonlinear equation iterative solution |
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