Convergence Theorems for a Finite Family of l-Asymptotically Nonexpansive Mappings in Banach Spaces
Birol Gunduz* and Sezgin Akbulut* Author for corresponding; e-mail address: birolgndz@gmail.com
Volume: Vol.44 No.3 (July 2017)
Research Article
DOI:
Received: 29 June 2013, Revised: -, Accepted: 3 January 2017, Published: -
Citation: Gunduz B. and Akbulut S., Convergence Theorems for a Finite Family of l-Asymptotically Nonexpansive Mappings in Banach Spaces, Chiang Mai Journal of Science, 2017; 44(3): 1144-1153.
Abstract
In this paper, a new two-step iterative scheme for a finite family of Ii-asymptocally nonexpansive mappings {Ti}Ni=1 is constructed in a uniformly convex Banach space. Weak and strong convergence theorems of this iterative scheme to a common fixed point of {Ti}Ni=1 and {Ii}Ni=1 are proved in a uniformly convex Banach space.