Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

The purpose of this paper is to prove convergence of a one-step iterative algorithm to approximate a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space by assuming some control conditions on the parameters. Our results extend and impr...

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Bibliographic Details
Published inAfrika mathematica Vol. 27; no. 5-6; pp. 949 - 961
Main Authors Woldeamanuel, Sebsibe Teferi, Sangago, Mengistu Goa, Hailu, Habtu Zegeye
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
Subjects
Applications of Mathematics
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
Secondary 46A32
Asymptotically quasi-nonexpansive mapping
Asymptotically nonexpansive mapping
Common fixed point
One-step iterative algorithm
Weak and strong convergence
47D20
Primary 47H10
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Summary:The purpose of this paper is to prove convergence of a one-step iterative algorithm to approximate a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space by assuming some control conditions on the parameters. Our results extend and improve the corresponding results in the literature.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-016-0390-7