An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems

Yekini Shehu (), Olaniyi S. Iyiola (), Duong Viet Thong () and Nguyen Thi Cam Van ()
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Yekini Shehu: Zhejiang Normal University
Olaniyi S. Iyiola: California University of Pennsylvania
Duong Viet Thong: Duy Tan University
Nguyen Thi Cam Van: National Economics University

Mathematical Methods of Operations Research, 2021, vol. 93, issue 2, No 2, 213-242

Abstract: Abstract The paper introduces an inertial extragradient subgradient method with self-adaptive step sizes for solving equilibrium problems in real Hilbert spaces. Weak convergence of the proposed method is obtained under the condition that the bifunction is pseudomonotone and Lipchitz continuous. Linear convergence is also given when the bifunction is strongly pseudomonotone and Lipchitz continuous. Numerical implementations and comparisons with other related inertial methods are given using test problems including a real-world application to Nash–Cournot oligopolistic electricity market equilibrium model.

Keywords: Equilibrium problem; Variational inequality problem; Extragradient method; 90C33; 47J20 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00186-020-00730-w

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