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Self-adaptive technique with double inertial steps for inclusion problem on Hadamard manifolds

Self-adaptive technique with double inertial steps for inclusion problem on Hadamard manifolds
Self-adaptive technique with double inertial steps for inclusion problem on Hadamard manifolds

In this article, we investigate monotone and Lipschitz continuous variational inclusion problem in the settings of Hadamard manifolds. We propose a forward–backward method with a self-adaptive technique for solving variational inclusion problem. To increase the rate of convergence of our proposed method, we incorporate our iterative method with double inertial steps and establish a convergence result of our iterative method under some mild conditions. Finally, in order to illustrate the computational effectiveness of our method, some numerical examples are also discussed. The result present in this article is new in this space and extends many related results in the literature.

47H09, 49J25, 65K10, 90C25, Double inertial method, Hadamard manifold, Monotone operator, Riemannian manifold, Variational inclusion problem
2194-668X
Abass, Hammed Anuoluwapo
aa6a64a5-79bf-41dd-a5d0-0681fdc1e9ec
Oyewole, Olawale Kazeem
6e9e09ed-3aeb-4a42-acb3-67d7318288ec
Aremu, Kazeem Olalekan
7c8766e4-ec45-4093-baca-e79f01088056
Jolaoso, Lateef Olakunle
102467df-eae0-4692-8668-7f73e8e02546
Abass, Hammed Anuoluwapo
aa6a64a5-79bf-41dd-a5d0-0681fdc1e9ec
Oyewole, Olawale Kazeem
6e9e09ed-3aeb-4a42-acb3-67d7318288ec
Aremu, Kazeem Olalekan
7c8766e4-ec45-4093-baca-e79f01088056
Jolaoso, Lateef Olakunle
102467df-eae0-4692-8668-7f73e8e02546

Abass, Hammed Anuoluwapo, Oyewole, Olawale Kazeem, Aremu, Kazeem Olalekan and Jolaoso, Lateef Olakunle (2024) Self-adaptive technique with double inertial steps for inclusion problem on Hadamard manifolds. Journal of the Operations Research Society of China. (doi:10.1007/s40305-024-00537-0).

Record type: Article

Abstract

In this article, we investigate monotone and Lipschitz continuous variational inclusion problem in the settings of Hadamard manifolds. We propose a forward–backward method with a self-adaptive technique for solving variational inclusion problem. To increase the rate of convergence of our proposed method, we incorporate our iterative method with double inertial steps and establish a convergence result of our iterative method under some mild conditions. Finally, in order to illustrate the computational effectiveness of our method, some numerical examples are also discussed. The result present in this article is new in this space and extends many related results in the literature.

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More information

Accepted/In Press date: 7 January 2024
e-pub ahead of print date: 2 April 2024
Published date: 2 April 2024
Additional Information: Publisher Copyright: © The Author(s) 2024.
Keywords: 47H09, 49J25, 65K10, 90C25, Double inertial method, Hadamard manifold, Monotone operator, Riemannian manifold, Variational inclusion problem

Identifiers

Local EPrints ID: 488948
URI: http://eprints.soton.ac.uk/id/eprint/488948
ISSN: 2194-668X
PURE UUID: f02a41a9-7d07-45d7-a412-065d9692368a
ORCID for Lateef Olakunle Jolaoso: ORCID iD orcid.org/0000-0002-4838-7465

Catalogue record

Date deposited: 09 Apr 2024 17:12
Last modified: 10 May 2024 02:01

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Contributors

Author: Hammed Anuoluwapo Abass
Author: Olawale Kazeem Oyewole
Author: Kazeem Olalekan Aremu

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