An inertial extragradient method for solving strongly pseudomonotone equilibrium problems in Hilbert spaces
An inertial extragradient method for solving strongly pseudomonotone equilibrium problems in Hilbert spaces
In this work, we propose an inertial extragradient method for solving strongly pseudomonotone equilibrium problems utilizing a novel self-adaptive stepsize approach. We establish the R-linear convergence rate of the proposed method without prior knowledge of the Lipschitz-type constants associated with the bifunction. We also discuss the application of the obtained results to variational inequality problems involving strongly pseudomonotone and Lipschitz continuous mapping. Numerical examples are presented to illustrate the efficiency of the proposed method.
Equilibrium problem, Inertial extragradient method, R-linear rate, Strongly pseudomonotone bifunction
Hai, Le Thi Thanh
d9a85ade-d55d-4bc7-af1a-de670e5af931
Thong, Duong Viet
5563032e-e096-4141-a82b-e8c7955692c9
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf
9 August 2024
Hai, Le Thi Thanh
d9a85ade-d55d-4bc7-af1a-de670e5af931
Thong, Duong Viet
5563032e-e096-4141-a82b-e8c7955692c9
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf
Hai, Le Thi Thanh, Thong, Duong Viet and Vuong, Phan Tu
(2024)
An inertial extragradient method for solving strongly pseudomonotone equilibrium problems in Hilbert spaces.
Computational and Applied Mathematics, 43 (6).
(doi:10.1007/s40314-024-02840-1).
Abstract
In this work, we propose an inertial extragradient method for solving strongly pseudomonotone equilibrium problems utilizing a novel self-adaptive stepsize approach. We establish the R-linear convergence rate of the proposed method without prior knowledge of the Lipschitz-type constants associated with the bifunction. We also discuss the application of the obtained results to variational inequality problems involving strongly pseudomonotone and Lipschitz continuous mapping. Numerical examples are presented to illustrate the efficiency of the proposed method.
Text
s40314-024-02840-1
- Version of Record
More information
Accepted/In Press date: 27 June 2024
e-pub ahead of print date: 9 August 2024
Published date: 9 August 2024
Keywords:
Equilibrium problem, Inertial extragradient method, R-linear rate, Strongly pseudomonotone bifunction
Identifiers
Local EPrints ID: 495038
URI: http://eprints.soton.ac.uk/id/eprint/495038
ISSN: 2238-3603
PURE UUID: da5aeaa3-49cb-4f3f-84eb-75692807dd57
Catalogue record
Date deposited: 28 Oct 2024 17:44
Last modified: 29 Oct 2024 02:59
Export record
Altmetrics
Contributors
Author:
Le Thi Thanh Hai
Author:
Duong Viet Thong
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
