In this paper, an extragradient-like iteration algorithm for approximating a common element
of the set of solutions of a variational inequality problem for a monotone, k-Lipschitz map
and common fixed points of a countable family of relatively nonexpansive maps in a
uniformly smooth and 2-uniformly convex real Banach space is introduced. A strong
convergence theorem for the sequence generated by this algorithm is proved. The theorem
obtained is a an improvement of some recent important results. Finally, some applications of …