A generalization of Ostrowski's theorem on fixed points

被引：6
|
作者：
Argyros, IK [1 ]
机构：
[1] Cameron Univ, Dept Math, Lawton, OK 73505 USA
来源：
APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 06期
关键词：
Banach space; fixed point; spectral radius; contraction mapping principle;
D O I：
10.1016/S0893-9659(99)00082-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this manuscript, we generalize a theorem on fixed points due to Ostrowski, using the spectral radius formula. The theorem proved here deals with the following question. Given that an operator has a fixed point, when is it true that iterates converge to the fixed point? (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：77 / 79
页数：3
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