Inertial subgradient projection techniques for solving a class of bilevel equilibrium problems

In this paper, we introduce a new algorithm for solving bilevel equilibrium problems with nonexpansive and pseudocontractive mappings in a real Hilbert space. The proposed algorithm is based on subgradient method with Armijo-type linesearch process, subgradient method, and inertial projection techniques. By choosing the suitable regular parameters, we prove strong convergence of the algorithm under classical conditions of the cost bifunctions.