Iterative solutions for zeros of accretive operators

被引：51

作者：

Benavides, TD ^{[1
]}

López-Acedo, G

Xu, HK

机构：

[1] Univ KwaZulu Natal, Dept Math, Private Bag X54001, ZA-4000 Durban, South Africa

[2] Univ Seville, Dept Anal, E-41080 Seville, Spain

来源：

MATHEMATISCHE NACHRICHTEN | 2003年 / 248卷

关键词：

iterative scheme; m-accretive operator; superlinear convergence;

D O I：

10.1002/mana.200310003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two iterative schemes are designed to approach zeros of m-accretive operators in Banach spaces. The first one is a kind of contractive iteration process involving with the resolvent and the second one is an averaged iteration process of the identity and the resolvent. Strong convergence for the first scheme and weak convergence for the second scheme are proved. The second scheme is also shown to have superlinear rate of convergence.

引用

页码：62 / 71

页数：10

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