A parallel hybrid accelerated extragradient algorithm for pseudomonotone equilibrium, fixed point, and split null point problems

Abstract This paper provides iterative construction of a common solution associated with the classes equilibrium problems (EP) and split convex feasibility problems. In particular, we are interested in EP defined respect to pseudomonotone bifunction, fixed point problem (FPP) for finite family "Equation missing"-demicontractive operators, null problem. From numerical standpoint, combining various classical algorithms study two more abstract is fascinating field research. We, therefore, propose an algorithm that combines parallel hybrid extragradient inertial extrapolation technique. The analysis proposed comprises theoretical results concerning strong convergence under suitable set constraints results.