| 增生算子的非线性方程的逼近法 |
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| 引用本文： | 王学勤.增生算子的非线性方程的逼近法[J].湖北汽车工业学院学报,2006,20(1):78-80. |
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| 作者姓名： | 王学勤 |
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| 作者单位： | 湖北汽车工业学院,理学部,湖北,十堰,442002 |
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| 摘 要： | 设X是一致凸且一致光滑的实Banach空间,T:D(T),X"X是定义域为闭集D(T),值域为有界集R(T)的m-增生算子,本文证明了Ishikawa迭代强收敛到方程x+Tx=f的唯一解。
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| 关 键 词： | m-增生算子 迭代过程 一致光滑Banach空间 |
| 文章编号： | 1008-5483（2006）01-0078-03 |
| 收稿时间： | 2005-11-20 |
| 修稿时间： | 2005年11月20 |
Approximation Methods for Nonlinear Equations of Accretive Operator |
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| Wang Xueqin.Approximation Methods for Nonlinear Equations of Accretive Operator[J].Journal of Hubei Automotive Industries Institute,2006,20(1):78-80. |
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| Authors: | Wang Xueqin |
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| Institution: | Dept. of Basic Sciences, Hubei Automotive Industries Institute, Shiyan 442002, China |
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| Abstract: | The strong convergence theorem of Ishikawa iterative sequences to the unique solution of the equation x + Tx = f is proved,where x ∈X,X is uniformly convex and uniformly smooth real Banach space,T : D(T)?奂X?邛X is m-accretive operator defined on the closed set D(T) of X and its range is a bounded set R(T) of X. |
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| Keywords: | m-accretive operator iterative process uniformly smooth Banach space |
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