University of Guilan Journal of Mathematical Modeling 2345-394X 13 2 2025 05 01 An improved inertial subgradient extragradient algorithm for pseudomonotone equilibrium problems and its applications 263 280 8156 10.22124/jmm.2024.28107.2479 EN Bochra Zeghad Laboratory of Fundamental and Numerical Mathematics LMFN, Department of Mathematics, Ferhat Abbas University Setif-1, Setif, Algeria Nourreddine Daili Department of Mathematics, Ferhat Abbas University Setif-1, Setif, Algeria Journal Article 2024 08 05 This paper presents an improvement of the inertial subgradient extragradient algorithm by using two non-monotonic step size criterion for pseudomonotone equilibrium problems in    real Hilbert spaces. A strong convergence theorem of the suggested algorithm    is proved under suitable assumptions on the equilibrium bifunction and the control parameters. Finally,  application and numerical example are given, which demonstrate the advantages and efficiency of the proposed algorithm. https://jmm.guilan.ac.ir/article_8156_336366b43a3249f793625114161b836b.pdf