An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems Shehu, Yekini ; https://orcid.org/0000-0001-9224-7139 Iyiola, Olaniyi S. Thong, Duong Viet Van, Nguyen Thi Cam 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. Springer Nature 2021 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/8817 Shehu Y, Iyiola OS, Thong DV, Van NTC. An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems. <i>Mathematical Methods of Operations Research</i>. 2021;93(2):213-242. doi:<a href="https://doi.org/10.1007/s00186-020-00730-w">10.1007/s00186-020-00730-w</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s00186-020-00730-w info:eu-repo/semantics/altIdentifier/issn/1432-2994 info:eu-repo/semantics/altIdentifier/e-issn/1432-5217 info:eu-repo/semantics/altIdentifier/wos/000590497300001 info:eu-repo/semantics/closedAccess