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

Document Type : Research Article

Authors

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

2 Department of Mathematics, Faculty of science, University F. ABBAS Setif 1. 19000 Setif, Algeria,

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, some applications and numerical example are given, which demonstrate the advantages and efficiency of the proposed algorithms.

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Main Subjects

Journal of Mathematical Modeling

Articles in Press, Accepted Manuscript
Available Online from 18 November 2024

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