Mann-type inertial subgradient extragradient methods for bilevel equilibrium problems

In this paper, we introduce and analyze two Mann-type implicit inertial sub -gradient extragradient algorithms for solving the monotone bilevel equilibrium problem with a general system of variational inclusions and a common fixed-point problem of a finite family of strict pseudocontraction mappings and an asymptotically nonexpansive mapping constraints. Some strong convergence theorems for the proposed algorithms are established under the suitable assumptions.