| 关于赋范线性空间中增生算子方程的逼近问题 |
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| 引用本文： | 李小玲,刘理蔚.关于赋范线性空间中增生算子方程的逼近问题[J].应用泛函分析学报,2007,9(3):254-258. |
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| 作者姓名： | 李小玲 刘理蔚 |
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| 作者单位： | 1. 南昌大学,数学系,南昌,330047;南昌工程学院,理学系,南昌,330099
2. 南昌大学,数学系,南昌,330047 |
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| 基金项目： | 国家自然科学基金;江西省自然科学基金 |
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| 摘 要： | 研究了赋范线性空间中强增生映射和一致增生映射的零点的最速下降法迭代逼近问题,修正了Chidume的一个定理,改进和推广了Chidume和周海云等近期的相应结果.
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| 关 键 词： | 一致增生映射 强增生映射 一致伪压缩映射 最速下降法 |
| 文章编号： | 1009-1327（2007）03-0254-05 |
| 修稿时间： | 2006-07-24 |
On Approximation Problems of Accretive Operator Equations in Normed Linear Space |
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| LI Xiao-ling,LIU Li-wei.On Approximation Problems of Accretive Operator Equations in Normed Linear Space[J].Acta Analysis Functionalis Applicata,2007,9(3):254-258. |
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| Authors: | LI Xiao-ling LIU Li-wei |
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| Institution: | 1. Department of Mathematics, Nanchang University, Nanchang 330047, China; 2. Department of Science, Nanchang Institute of Technology, Nanchang 330099, China |
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| Abstract: | We study the problems of the convergence of the sequence defined by the steepest descent method for the zero of strongly accretive mapping and uniformly accretive mapping.Our results modify Chidume's a result,improve and extend the corresponding of Chidume and Zhou et al. |
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| Keywords: | uniformly accretive maps strongly accretive maps uniformly pseudocontractive maps steepest descentap method |
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