Hybrid inertial accelerated extragradient algorithms for split pseudomonotone equilibrium problems and fixed point problems of demicontractive mappings

In this paper, we present a new hybrid extragradient algorithm for finding common element of the fixed point problem demicontractive mapping and split equilibrium pseudomonotone Lipschitz-type continuous bifunction. By using technique choosing step size proposed method, our algorithms do not need any prior information operator norm. fact, propose an inertial type in order to accelerate its convergence rate then prove strong theorem method under some control conditions. Moreover, give numerical experiments support main results.