An algorithm for split equilibrium and fixed-point problems using inertial extragradient techniques

We study in this article, split equilibrium fixed-point problems involving pseudomonotone bifunctions which satisfy Lipschitz-type continuous condition and nonexpansive mappings, respectively, in real Hilbert spaces. In order to solve this problem, we propose an inertial extragradient algorithm and establish strong convergence theorem using the sequence of the algorithm under mild conditions. A numerical example given demonstrates that our algorithm is efficient and is superior to the algorithm studied by Narin (J Ineq Appl 2019:137, 2019).