Convergence results on the general inertial Mann–Halpern and general inertial Mann algorithms
Journal article
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Publication Details
Author list: Solomon Gebregiorgis & Poom Kumam
Publisher: Springer Open
Publication year: 2023
Volume number: 2023
Start page: 18
ISSN: 1687-1820
eISSN: 1687-1812
URL: https://fixedpointtheoryandalgorithms.springeropen.com/articles/10.1186/s13663-023-00752-z
Languages: English-United States (EN-US)
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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