Quantitative asymptotic regularity of the VAM iteration with error terms for $m$-accretive operators in Banach spaces

In this paper, we obtain, by using proof mining methods, quantitative results on the asymptotic regularity of the viscosity approximation method (VAM) with error terms for m -accretive operators in Banach spaces. For concrete instances of the parameter sequences, linear rates are computed by applyin...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Zeitschrift für Analysis und ihre Anwendungen 2024-07
Hauptverfasser: Firmino, Paulo, Leuştean, Laurenţiu
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we obtain, by using proof mining methods, quantitative results on the asymptotic regularity of the viscosity approximation method (VAM) with error terms for m -accretive operators in Banach spaces. For concrete instances of the parameter sequences, linear rates are computed by applying a lemma due to Sabach and Shtern.
ISSN:0232-2064
1661-4534
DOI:10.4171/zaa/1772