A modified iterative algorithm for finding a common element in Hilbert space

In this paper, a modified iterative algorithm for finding a common element of the solutions of a equilibrium problem, the set of fixed points of nonexpansive mappings and the set of solutions of variational inequality problem is constructed in Hilbert spaces, and the strong convergence of the generated iterative sequence to the common element is proved under some mild conditions. The main result proposed in this paper extends and improves some recent results in the literature.