Abstract. We study the convergence analysis of a Picard-S iterative method for a particular class of weak-contraction mappings and give a data dependence result for fixed points of these mappings.

Let C be a nonempty closed convex proper subset of a real uniformly convex and uniformly smooth Banach space E, let S : C → C be a relatively nonexpansive mapping, and let T : C → E be an ...