An inertial extragradient subgradient method for solving bilevel equilibrium problems

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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 http://eudoxuspress.com/index.php/pub/article/view/209

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