| 含k-次增生算子的Ishikawa迭代的收敛性问题 |
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| 引用本文： | 苏珂,何震. 含k-次增生算子的Ishikawa迭代的收敛性问题[J]. 应用泛函分析学报, 2003, 5(3): 255-264 |
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| 作者姓名： | 苏珂 何震 |
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| 作者单位： | 河北大学数学与计算机学院,河北,保定,071002 |
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| 摘 要： | 主要研究了非线性方程x Tx=f的Ishikawa迭代解．其中T为k-次增生的或增生的，并在一致光滑和任意的实Banach空间分别研究了上述方程的带误差的Ishikawa迭代解，从而推广了已知的一些结果。
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| 关 键 词： | k-次增生算子 Ishikawa迭代解 收敛性 Banach空间 |
| 文章编号： | 1009-1327(2003)03-0255-10 |
| 修稿时间： | 2002-04-12 |
The Convergences of Ishikawa Iterative Sequences for k-subaccretive Operator |
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| SU Ke,HE Zhen. The Convergences of Ishikawa Iterative Sequences for k-subaccretive Operator[J]. Acta Analysis Functionalis Applicata, 2003, 5(3): 255-264 |
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| Authors: | SU Ke HE Zhen |
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| Affiliation: | SU Ke,HE ZhenDepartment of Mathematics and Computer,Hebei University,Baoding 071002,China |
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| Abstract: | In this paper the Ishikawa iterative solution isstudied for the equation x+Tx=f, where T is a k-subaccretive operat er or an accretive operator. Moreover, in the uniformly smooth and arbitrary Ban ach space, the Ishikawa iterative solution with errors for the same equation isalso studied respectively.Some well-kown results are gerneralized. |
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| Keywords: | uniformly smooth Banach space k-subaccretiv e operator accretive operator Ishikawa iterative sequences with errors |
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