We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space. We study approximation of common fixed point of asymptotically nonexpansive mappings in Banach space by using a new iterative scheme. Applications to the accretive operators are also included.
"A New Iterative Scheme of Modified Mann Iteration in Banach Space." Abstr. Appl. Anal. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/264909