... Picard-Banach and Mann-Ishikawaiterations,” to appear in Applied Mathematics E—Notes.S¸tefan M. S¸oltuz: Departamento de Matematicas, Universidad de Los Andes, Carrera 1 no. 18A-10,Bogota, ColombiaCurrent ... {vn}⊂X,limn→∞δn= 0 =⇒ limn→∞vn= x∗, (1.5)where δn:=vn+1− (1 − λ)vn− λTvn.2. Main resultsTheorem 2.1. Let X be a normed space and T : X→ X a map with bounded range and {αn}⊂(0,1) ... Picard-Banach iteration and Manniteration is given, that is, the following holds.Theorem 3.2 [6]. Let X be a normed space and T : X→ X a map. Iflimn→∞qn− Tqn=0, limn→∞un− Tun=0,...