An inertial extragradient subgradient method for solving bilevel equilibrium problems

Jiraprapa Munkong; Kasamsuk Ungchittrakool; Ali Farajzadeh

An inertial extragradient subgradient method for solving bilevel equilibrium problems

Authors

Jiraprapa Munkong Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand https://orcid.org/0009-0005-3174-762X
Kasamsuk Ungchittrakool Research Center for Academic Excellence in Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand https://orcid.org/0009-0005-3174-762X
Ali Farajzadeh Department of Mathematics, Razi University, Kermanshah, 67149, Iran https://orcid.org/0009-0005-3174-762X

Keywords:

Bilevel equilibrium problem; Extragradient subgradient method; Inertial method; Strong convergence

Abstract

In this paper, we propose an algorithm by combining an inertial term with the extragradient subgradient method for finding some solutions of bilevel equilibrium problems in a real Hilbert space. Then, we establish a strongly convergent theorem of the proposed algorithm under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions. Some numerical experiments are tested to illustrate the advantage performance of our algorithm.

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Published

2021-10-15

How to Cite

Jiraprapa Munkong, Kasamsuk Ungchittrakool, & Ali Farajzadeh. (2021). An inertial extragradient subgradient method for solving bilevel equilibrium problems. Journal of Computational Analysis and Applications (JoCAAA), 29(5), 995–1010. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/209