Alternated inertial subgradient extragradient method for equilibrium problems

Yekini Shehu (), Qiao-Li Dong (), Lulu Liu () and Jen-Chih Yao ()
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Yekini Shehu: Zhejiang Normal University
Qiao-Li Dong: Civil Aviation University of China
Lulu Liu: Civil Aviation University of China
Jen-Chih Yao: China Medical University

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2023, vol. 31, issue 1, No 1, 30 pages

Abstract: Abstract The focus of this paper is to obtain weak and linear convergence analysis of the subgradient extragradient method with alternated inertial step for solving equilibrium problems in real Hilbert spaces. The proposed method uses self-adaptive step sizes. Weak convergence is established without Lipschitz constant of the bifunction as an input parameter. Linear convergence is obtained without the modulus of strong pseudomonotonicity and Lipschitz constant as input parameters. We report some priori and posteriori error estimates and some numerical experiments to illustrate the behavior of our proposed method with related methods.

Keywords: Equilibrium problem; alternated inertial step; weak convergence; linear convergence; Hilbert spaces; 47H05; 47J20; 47J25; 65K15; 90C25 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s11750-021-00620-2

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