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赋范线性空间中强增生算子方程的迭代解
引用本文:张树义. 赋范线性空间中强增生算子方程的迭代解[J]. 应用泛函分析学报, 2010, 12(1): 75-78
作者姓名:张树义
作者单位:渤海大学,数学系,锦州,121000
基金项目:辽宁省教育厅科研资助项目 
摘    要:在去掉|(1-A)xn|有界的条件下,在实赋范线性空间中研究了强增生映象零点的最速下降法的迭代逼近问题,从而改进和发展了近期的相关结果.

关 键 词:赋范线性空间  强增生映象  最速下降法

Iterative Solution of Strongly Accretive Operator Equation in Normed Linear Space
ZHANG Shuyi. Iterative Solution of Strongly Accretive Operator Equation in Normed Linear Space[J]. Acta Analysis Functionalis Applicata, 2010, 12(1): 75-78
Authors:ZHANG Shuyi
Affiliation:ZHANG Shuyi (Department of Mathematics, Bohai University, Jinzhou 121000, China)
Abstract:Under the condition of removing the restriction bounder range |(I-A)x_n},We study the problems of the convergence of the sequence defined by the steepest descent method for the zero of strongly accretive mapping in normed linear space by using a new analytical method,which improve and extend some related results obtained by LI Xiaoling and LIU Liwei.
Keywords:normed linear space  strongly accretive mapping  steepest descent method
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