A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds

A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds

Year:    2023

Author:    Zhi Zhao, Teng-Teng Yao, Xiao-Qing Jin, Zhi Zhao

Numerical Mathematics: Theory, Methods and Applications, Vol. 16 (2023), Iss. 4 : pp. 954–967

Abstract

The problem of finding fixed points of nonexpansive mappings on Hadamard manifolds is considered in this paper. To solve this kind of problem, we propose a modified Riemannian Mann algorithm with inertial effect. Under the assumption of existence of fixed points of the nonexpansive mapping, the global convergence of the proposed algorithm is established. To show the efficiency of the proposed algorithm, numerical comparisons with some existing algorithms are reported.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.OA-2023-0039

Numerical Mathematics: Theory, Methods and Applications, Vol. 16 (2023), Iss. 4 : pp. 954–967

Published online:    2023-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Nonexpansive mapping Hadamard manifold fixed point inertial Mann algorithm.

Author Details

Zhi Zhao

Teng-Teng Yao

Xiao-Qing Jin

Zhi Zhao