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

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.

کلیدواژه ها:

Equilibrium problem ، variational inequality ، Inertial method ، Strong Convergence ، Subgradient extragradient method