Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings

In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the correspondin...

Full description

Saved in:
Bibliographic Details
Main Authors: Watcharaporn Cholamjiak, Suthep Suantai
Format: Journal
Published: 2018
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957920196&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50709
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
Description
Summary:In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the corresponding ones obtained in Schu (1991) [J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mapping, J. Math. Anal. Appl. 159 (1991) 407413] and many others. © 2010 Elsevier Ltd. All rights reserved.