Convergence results on the general inertial Mann–Halpern and general inertial Mann algorithms

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Publication Details

Author listSolomon Gebregiorgis & Poom Kumam

PublisherSpringer Open

Publication year2023

Volume number2023

Start page18

ISSN1687-1820

eISSN1687-1812

URLhttps://fixedpointtheoryandalgorithms.springeropen.com/articles/10.1186/s13663-023-00752-z

LanguagesEnglish-United States (EN-US)


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Abstract

In this paper, we prove strong convergence theorem of the general inertial Mann–Halpern algorithm for nonexpansive mappings in the setting of Hilbert spaces. We also prove weak convergence theorem of the general inertial Mann algorithm for k-strict pseudo-contractive mappings in the setting of Hilbert spaces. These convergence results extend and generalize some existing results in the literature. Finally, we provide examples to verify our main results.


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Last updated on 2024-11-04 at 23:05