A Krasnoselskii-type algorithm for approximating solutions of variational inequality problems and convex feasibility problems
Journal of Nonlinear and Variational Analysis · 2018
In this paper, a Krasnoselskii-type algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone, k-Lipschitz map and solutions of a convex feasibility problem involving a countable family of relatively nonexpansive maps is studied in a uniformly smooth and 2-uniformly convex real Banach space.A strong convergence theorem is proved.Finally, a numerical example is presented.