Title
Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings
Abstract
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) 407-413] and many others.
Year
DOI
Venue
2010
10.1016/j.camwa.2010.07.025
Computers & Mathematics with Applications
Keywords
Field
DocType
iterative construction,j. math,finite family,j. schu,generalized asymptotically quasi-nonexpansive mapping,strong convergence theorem,convex banach space,common fixed point,fixed point,main result,strong convergence,banach space,asymptotically nonexpansive mapping,iterative method,iteration method
Convergence (routing),Mathematical optimization,Common fixed point,Mathematical analysis,Iterative method,Banach space,Regular polygon,Fixed point,Mathematics
Journal
Volume
Issue
ISSN
60
7
Computers and Mathematics with Applications
Citations 
PageRank 
References 
0
0.34
4
Authors
2
Name
Order
Citations
PageRank
Watcharaporn Cholamjiak132.50
Suthep Suantai24315.06