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广义最速下降逼近拟增生算子的零点
引用本文:倪仁兴.广义最速下降逼近拟增生算子的零点[J].数学物理学报(A辑),2006,26(2):297-305.
作者姓名:倪仁兴
作者单位:绍兴文理学院数学系 绍兴
基金项目:国家自然科学基金(10271025),浙江省自然科学基金(102002)资助
摘    要:证明了广义最速下降逼近强收敛于定义在一致光滑实Banach空间的真子集上的有界拟增生算子的零点的一充要条件,几个相关的结果处理含-强拟增生算子方程解或拟伪压缩映射不动点的强收敛性.所得的这些结果推广和统一了许多前人的近期相应结果.

关 键 词:拟增生算子  -强拟增生算子  拟伪压缩算子  一致光滑空间  广义最速下降逼近  非线性方程的零点
文章编号:1003-3998(2006)02-297-09
收稿时间:2003-12-09
修稿时间:2003年12月9日

A Generalized Steepest Descent Approximation for the Zeros of Quasi-accretive Operators
Ni Renxing.A Generalized Steepest Descent Approximation for the Zeros of Quasi-accretive Operators[J].Acta Mathematica Scientia,2006,26(2):297-305.
Authors:Ni Renxing
Institution:Department of Mathematics, Shaoxing University, Shaoxing Zhejiang 312000
Abstract:A necessary and sufficient condition is proved for a generalized steepest descent approximation to converge to the zeros of bounded quasi-accretive operators defined on proper subsets of uniformly smooth real Banach space. Some related results deal with the strong convergence of the scheme to a solution of equations involving (?)-strongly quasi-accretive operators and fixed points of quasi-pseudocontractive map. These results extend and unify the recent corresponding ones by many authors.
Keywords:
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