| 含有k-次增生算子T的方程x+Tx=f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Ishikawa迭代解[J].应用泛函分析学报,2003,5(3):249-254. |
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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： | 建立起了强收敛于方程x Ty=f的解的Ishikawa迭代过程．其中T是一致光滑Banach空间中的一个在D(T)上的既非有界又非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： | 强收敛性 Ishikawa迭代解 Banach空间 k-次增生算子 |
| 文章编号： | 1009-1327(2003)03-0249-06 |
| 修稿时间： | 2002年2月22日 |
The Ishikawa Iterative Solution of the Equation x +Tx= f for a k-subaccretive Operator T |
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| XU Cheng-zhangWesten Chongqing University,Yongchuan Chongqing ,China.The Ishikawa Iterative Solution of the Equation x +Tx= f for a k-subaccretive Operator T[J].Acta Analysis Functionalis Applicata,2003,5(3):249-254. |
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| Authors: | XU Cheng-zhangWesten Chongqing University Yongchuan Chongqing China |
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| Institution: | XU Cheng-zhangWesten Chongqing University,Yongchuan Chongqing 402168,China |
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| Abstract: | In this paper, we have established the strong con vergence of Ishikawa iterative processes to a solution of the equation x+Tx=f. Where the T is a k-subaccretive operator in a uniformly sm ooth Banach spaces, but is neither bound nor Lipschitzian on D(T). Some well-known results are generalized. |
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| Keywords: | uniformly smooth Banach space k-subaccretiveoperator nonlinear equation Ishikawa iterative processes |
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