A strong convergence for finding a common fixed point of a representation of nonexpansive mappings and w-mappings in banach spaces

Abstract

In this paper, a strong convergence for finding an element of the set of common fixed points of a representation and W-mappings of nonexpansive mappings is introduced. Then, the strong convergence of the proposed implicit scheme to the common fixed point of a representation of nonexpansive mappings and W-mappings will be proved.