This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The purpose of this paper is to consider that a modified Halpern's iterative sequence
converges strongly to a fixed point of nonexpansive mappings in Banach spaces which
have a uniformly Gâteaux differentiable norm. Our result is an extension of the corresponding