An improved inertial subgradient extragradient algorithm for pseudomonotone equilibrium problems and its applications

Zeghad, Bochra; Daili, Nourreddine

doi:10.22124/jmm.2024.28107.2479

An improved inertial subgradient extragradient algorithm for pseudomonotone equilibrium problems and its applications

Articles in Press

Document Type : Research Article

Authors

Bochra Zeghad ¹
Nourreddine Daili ²

¹ Laboratory of Fundamental and Numerical Mathematics LMFN, Department of Mathematics, Ferhat Abbas University Setif-1, Setif, Algeria

² Department of Mathematics, Ferhat Abbas University Setif-1, Setif, Algeria

10.22124/jmm.2024.28107.2479

Abstract

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.

Keywords