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Inertial forward-backward-forward method for nonconvex mixed variational Inequalities

Inertial forward-backward-forward method for nonconvex mixed variational Inequalities
Inertial forward-backward-forward method for nonconvex mixed variational Inequalities
In this paper, we introduce a forward-backward-forward splitting algorithm with double inertial effects to approximate a solution of a non-convex mixed variational inequality problem. Our algorithm does not involve an on-line rule and one of the inertial factors is chosen to be non-positive. We give global convergence results of the iterative sequence generated by our algorithm. Some known results are recovered as special cases of our results. Numerical test is given to support the theoretical findings.
2562-5527
335-348
Tran, Van Nam
58f376d1-567a-4d75-a91c-4301850c57ba
Shehu, Yekini
df727925-5bf0-457a-87fa-f70de3bfd11a
Xu, Renqi
fb90ad57-eb26-4750-90cc-ceef5cf90de7
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf
Tran, Van Nam
58f376d1-567a-4d75-a91c-4301850c57ba
Shehu, Yekini
df727925-5bf0-457a-87fa-f70de3bfd11a
Xu, Renqi
fb90ad57-eb26-4750-90cc-ceef5cf90de7
Vuong, Phan Tu
52577e5d-ebe9-4a43-b5e7-68aa06cfdcaf

Tran, Van Nam, Shehu, Yekini, Xu, Renqi and Vuong, Phan Tu (2023) Inertial forward-backward-forward method for nonconvex mixed variational Inequalities. Journal of Applied and Numerical Optimization, 5 (3), 335-348.

Record type: Article

Abstract

In this paper, we introduce a forward-backward-forward splitting algorithm with double inertial effects to approximate a solution of a non-convex mixed variational inequality problem. Our algorithm does not involve an on-line rule and one of the inertial factors is chosen to be non-positive. We give global convergence results of the iterative sequence generated by our algorithm. Some known results are recovered as special cases of our results. Numerical test is given to support the theoretical findings.

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Published date: 1 December 2023
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Identifiers

Local EPrints ID: 495601
URI: http://eprints.soton.ac.uk/id/eprint/495601
ISSN: 2562-5527
PURE UUID: 9a7dfe80-330d-484a-b82f-087b3863e3ff
ORCID for Phan Tu Vuong: ORCID iD orcid.org/0000-0002-1474-994X

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Date deposited: 19 Nov 2024 17:37
Last modified: 20 Nov 2024 02:58

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Contributors

Author: Van Nam Tran
Author: Yekini Shehu
Author: Renqi Xu
Author: Phan Tu Vuong ORCID iD

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