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An inertial forward-backward-forward algorithm for solving non-convex mixed variational inequalities

An inertial forward-backward-forward algorithm for solving non-convex mixed variational inequalities
An inertial forward-backward-forward algorithm for solving non-convex 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.

Forward-backward-forward splitting, Non-convex variational inequalities, Proximal point algorithms, Wwo-step inertial extrapolation
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) An inertial forward-backward-forward algorithm for solving non-convex mixed variational inequalities. Journal of Applied and Numerical Optimization, 5 (3), 335-348. (doi:10.23952/jano.5.2023.3.04).

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
Additional Information: Publisher Copyright: © 2023 Journal of Applied and Numerical Optimization.
Keywords: Forward-backward-forward splitting, Non-convex variational inequalities, Proximal point algorithms, Wwo-step inertial extrapolation
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Identifiers

Local EPrints ID: 495539
URI: http://eprints.soton.ac.uk/id/eprint/495539
DOI: doi:10.23952/jano.5.2023.3.04
ISSN: 2562-5527
PURE UUID: d5932602-5610-466e-8ec3-6b8ac2079aa3
ORCID for Phan Tu Vuong: ORCID iD orcid.org/0000-0002-1474-994X

Catalogue record

Date deposited: 15 Nov 2024 17:55
Last modified: 16 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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