A New Approximation Method for Equilibrium, Variational Inequality and Fixed Point Problems

Smaila S. Sanni, Eugene C. Ukaegbu, Yekini Shehu

Abstract

The purpose of this paper is to construct a new iterative scheme and prove strong convergence theorem for approximation of a common fixed point of a countable family of relatively nonexpansive mappings which is also a common solution to an equilibrium and variational inequality problems in a 2-uniformly convex and uniformly smooth real Banach space. We apply our result to convex feasibility problem.