Weak convergence theorems for inertial Krasnoselskii-Mann iterations in the class of enriched nonexpansive operators in Hilbert spaces

Weak convergence theorems for inertial Krasnoselskii-Mann iterations in the class of enriched nonexpansive operators in Hilbert spaces

In this paper, we present some results about the aproximation of fixed points of nonexpansive and enriched nonexpansive operators. In order to approximate the fixed points of enriched nonexpansive mappings, we use the Krasnoselskii-Mann iteration for which we prove weak convergence theorem and the t...

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Bibliographic Details
Main Author: Socaciu Liviu-Ignat
Format: Article
Language:English
Published: Sciendo 2025-03-01
Series:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Subjects:
weak convergence
inertial iteration
nonexpansive operator
enriched non-expansive operator
hilbert space
primary 46g05, 46l05
secondary 47a30, 47b47
Online Access:https://doi.org/10.2478/auom-2025-0013
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https://doi.org/10.2478/auom-2025-0013

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