A self-adaptive inertial subgradient extragradient algorithm for solving bilevel equilibrium problems
A self-adaptive inertial subgradient extragradient algorithm for solving bilevel equilibrium problems
In this paper, we introduce an inertial subgradient extragradient method with a self-adaptive technique for solving bilevel equilibrium problem in real Hilbert spaces. The algorithm is designed such that its stepsize is chosen without the need for prior estimates of the Lipschitz-like constants of the upper level bifunction nor a line searching procedure. This provides computational advantages to the algorithm compared with other similar methods in the literature. We prove a strong convergence result for the sequences generated by our algorithm under suitable conditions. We also provide some numerical experiments to illustrate the performance and efficiency of the proposed method.
Bilvel equilibrium problem, Hilbert spaces, Pseudomonotone, Self-adaptive process, Subgradient extragradient method
Jolaoso, Lateef Olakunle
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Aremu, Kazeem Olalekan
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Oyewole, Olawale Kazeem
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Jolaoso, Lateef Olakunle
102467df-eae0-4692-8668-7f73e8e02546
Aremu, Kazeem Olalekan
7c8766e4-ec45-4093-baca-e79f01088056
Oyewole, Olawale Kazeem
6e9e09ed-3aeb-4a42-acb3-67d7318288ec
Jolaoso, Lateef Olakunle, Aremu, Kazeem Olalekan and Oyewole, Olawale Kazeem
(2022)
A self-adaptive inertial subgradient extragradient algorithm for solving bilevel equilibrium problems.
Rendiconti del Circolo Matematico di Palermo Series 2.
(doi:10.1007/s12215-022-00845-5).
Abstract
In this paper, we introduce an inertial subgradient extragradient method with a self-adaptive technique for solving bilevel equilibrium problem in real Hilbert spaces. The algorithm is designed such that its stepsize is chosen without the need for prior estimates of the Lipschitz-like constants of the upper level bifunction nor a line searching procedure. This provides computational advantages to the algorithm compared with other similar methods in the literature. We prove a strong convergence result for the sequences generated by our algorithm under suitable conditions. We also provide some numerical experiments to illustrate the performance and efficiency of the proposed method.
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Jola-Bilevel-EP-2022
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Accepted/In Press date: 14 November 2022
e-pub ahead of print date: 19 December 2022
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© 2022, The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature.
Keywords:
Bilvel equilibrium problem, Hilbert spaces, Pseudomonotone, Self-adaptive process, Subgradient extragradient method
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Local EPrints ID: 474827
URI: http://eprints.soton.ac.uk/id/eprint/474827
ISSN: 0009-725X
PURE UUID: a92202d0-8cb5-45b1-bc16-a7086a620384
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Date deposited: 03 Mar 2023 17:42
Last modified: 17 Mar 2024 07:38
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Author:
Kazeem Olalekan Aremu
Author:
Olawale Kazeem Oyewole
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