| 渐近非扩张算子方程的隐式迭代序列收敛性 |
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| 引用本文： | 王玮玮.渐近非扩张算子方程的隐式迭代序列收敛性[J].河北北方学院学报(自然科学版),2011,27(6):1-4. |
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| 作者姓名： | 王玮玮 |
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| 作者单位： | 河北北方学院理学院,河北张家口,075000 |
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| 摘 要： | 隐式迭代法是不动点理论的重要内容，非渐近非扩张算子方程也被广泛使用，通过对渐近非扩张算子方程的隐式迭代法的研究，利用渐近非扩张算子的概念和性质，得到了渐近非扩张算子方程隐式迭代解的收敛性的充分条件，完善了对其收敛性研究的理论．
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| 关 键 词： | 非线性算子方程 渐近非扩张映射 隐式迭代 收敛性 |
Convergence of Implicit Iteration Sequence for Asymptotically Nonexpansive Operator Equation |
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| WANG Wei-wei.Convergence of Implicit Iteration Sequence for Asymptotically Nonexpansive Operator Equation[J].Journa of Hebei North University:Natural Science Edition,2011,27(6):1-4. |
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| Authors: | WANG Wei-wei |
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| Institution: | WANG Wei-wei(College of Science,Hebei North University,Zhangjiakou 075000,Hebei,China) |
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| Abstract: | The implicit iteration method is the important content of the fixed point theory, and the asymptotically nonexpansive operator equation has been widely used. From the study of the implicit iteration method of the asymptotically nonexpansive operator equation, and by using the concept and property of the asymptotically nonexpansive mapping, the sufficient condition of the convergence solution for the asymptotically nonexpansive operator equation is obtained and the convergence theory is integrated. |
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| Keywords: | nonlinear operator equations asymptotically nonexpansive mapping implicit iteration the convergence |
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