An inertial Mann algorithm for nonexpansive mappings on Hadamard manifolds

Journal article

Authors/Editors

Strategic Research Themes

Computational Science and Engineering (Digital Transformation)

Publication Details

Author list: Khammahawong, Konrawut; Chaipunya, Parin; Kumam, Poom;

Publisher: AIMS Press

Publication year: 2023

Volume number: 8

Issue number: 1

Start page: 2093

End page: 2116

Number of pages: 24

ISSN: 2473-6988

eISSN: 2473-6988

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85140595203&doi=10.3934%2fmath.2023108&partnerID=40&md5=dd11a5a6a42ec9132ae871c3d74cf76c

Languages: English-Great Britain (EN-GB)

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Abstract

An inertial Mann algorithm will be presented in this article with the purpose of approximating a fixed point of a nonexpansive mapping on a Hadamard manifold. Any sequence that is generated by using the proposed approach, under suitable assumptions, converges to fixed points of nonexpansive mappings. The proposed method is also dedicated to solving inclusion and equilibrium problems. Lastly, we give a number of computational experiments that show how well the inertial Mann algorithm works and how it compares to other methods. © 2023 the Author(s), licensee AIMS Press.

Keywords

inertial Mann method