A modified Mann iterative scheme for a sequence of‎ ‎nonexpansive mappings and a monotone mapping with applications

‎In a real Hilbert space‎, ‎an iterative scheme is considered to‎ ‎obtain strong convergence which is an essential tool to find a‎ ‎common fixed point for a countable family of nonexpansive mappings‎ ‎and the solution of a variational inequality problem governed by a‎ ‎monotone mapping‎. ‎In this paper‎, ‎we give a procedure which results‎ ‎in developing Shehuʹs result to solve equilibrium problem‎. ‎Then‎, ‎we state more applications of this procedure‎. ‎Finally‎, ‎we‎ ‎investigate some numerical examples which hold in our main‎ ‎results‎.