article published yes Yekini Shehu author 3FC7CB58-F248-11E8-B48F-1D18A9856A870000-0001-9224-7139 Olaniyi S. Iyiola author Duong Viet Thong author Nguyen Thi Cam Van author VlKo department Discrete Optimization in Computer Vision: Theory and Practice project 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 Nature2021 eng 1432-2994 1432-5217 00059049730000110.1007/s00186-020-00730-w 932213-242 Shehu, Yekini, Olaniyi S. Iyiola, Duong Viet Thong, and Nguyen Thi Cam Van. “An Inertial Subgradient Extragradient Algorithm Extended to Pseudomonotone Equilibrium Problems.” <i>Mathematical Methods of Operations Research</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s00186-020-00730-w">https://doi.org/10.1007/s00186-020-00730-w</a>. Shehu, Y., Iyiola, O. S., Thong, D. V., &#38; Van, N. T. C. (2021). An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems. <i>Mathematical Methods of Operations Research</i>. Springer Nature. <a href="https://doi.org/10.1007/s00186-020-00730-w">https://doi.org/10.1007/s00186-020-00730-w</a> Shehu, Yekini, et al. “An Inertial Subgradient Extragradient Algorithm Extended to Pseudomonotone Equilibrium Problems.” <i>Mathematical Methods of Operations Research</i>, vol. 93, no. 2, Springer Nature, 2021, pp. 213–42, doi:<a href="https://doi.org/10.1007/s00186-020-00730-w">10.1007/s00186-020-00730-w</a>. Y. Shehu, O.S. Iyiola, D.V. Thong, N.T.C. Van, Mathematical Methods of Operations Research 93 (2021) 213–242. Y. Shehu, O. S. Iyiola, D. V. Thong, and N. T. C. Van, “An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems,” <i>Mathematical Methods of Operations Research</i>, vol. 93, no. 2. Springer Nature, pp. 213–242, 2021. 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> Shehu Y, Iyiola OS, Thong DV, Van NTC. 2021. An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems. Mathematical Methods of Operations Research. 93(2), 213–242. 88172020-11-29T23:01:18Z2024-11-04T13:52:33Z