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Convergence Theorems for a Finite Family of l-Asymptotically Nonexpansive Mappings in Banach Spaces


Paper Type 
Contributed Paper
Title 
Convergence Theorems for a Finite Family of l-Asymptotically Nonexpansive Mappings in Banach Spaces
Author 
Birol Gunduz* and Sezgin Akbulut
Email 
birolgndz@gmail.com
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. 
Start & End Page 
1144 - 1153
Received Date 
2013-06-29
Revised Date 
Accepted Date 
2017-01-03
Full Text 
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Keyword 
I-asymptotically nonexpansive mapping, opialcondition, Kadec-Klee property, frechet differentiable norm, B condition, common fixed point
Volume 
Vol.44 No.3 (July 2017)
DOI 
Citation 
Gunduz B. and Akbulut S., Convergence Theorems for a Finite Family of l-Asymptotically Nonexpansive Mappings in Banach Spaces, Chiang Mai J. Sci., 2017; 44(3): 1144-1153.
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