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Iterative solutions for zeros of accretive operators

✍ Scribed by Tomas Dominguez Benavides; Genaro Lopez Acedo; Hong–Kun Xu

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
168 KB
Volume
248-249
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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.

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