Iterative methods for fixed points and equilibrium problems

Abstract

‎In this paper‎, ‎a new iterative scheme by hybrid method is constructed‎. ‎Strong convergence‎ ‎of the scheme to a common element of the set of fixed points of an infinite family of relatively quasi-nonexpansive mappings and set of common solutions to a system of equilibrium problems in a uniformly convex real Banach space which is also uniformly smooth is proved‎. ‎Our results extend important recent results‎.