Shrinking projection method for a sequence of relatively quasi-nonexpansive multivalued mappings and equilibrium problem in Banach spaces

Abstract

Strong convergence of a new iterative process based on the Shrinking projection method to a common element of the set of common fixed points of an infinite family of relatively quasi-nonexpansive multivalued mappings and the solution set of an equilibrium problem in a Banach space is established. Our results improved and extend the corresponding results announced by many others.