Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces

Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces

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The aim of this paper to study a Noor-type iteration process with errors for approximating common fixed point of a finite family of uniformly L-Lipschitzian asymptotically quasi-nonexpansive type mappings in the framework of convex metric spaces. We give a necessary and sufficient condition for stro...

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Main Author: G. S. Saluja
Format: Article
Language:English
Published: Etamaths Publishing 2013-10-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/125
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spelling doaj-28fe929bafd64573af17734fef0a000e2020-11-25T02:22:13ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392013-10-0141455752Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric SpacesG. S. Saluja0Govt.N.P.G.College of Science, Raipur (C.G.), India.The aim of this paper to study a Noor-type iteration process with errors for approximating common fixed point of a finite family of uniformly L-Lipschitzian asymptotically quasi-nonexpansive type mappings in the framework of convex metric spaces. We give a necessary and sufficient condition for strong convergence of said iteration scheme involving a finite family of above said mappings and also establish a strong convergence theorem by using condition (A). The results presented in this paper extend, improve and unify some existing results in the previous work.http://www.etamaths.com/index.php/ijaa/article/view/125
collection DOAJ
language English
format Article
sources DOAJ
author G. S. Saluja
spellingShingle G. S. Saluja
Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces
International Journal of Analysis and Applications
author_facet G. S. Saluja
author_sort G. S. Saluja
title Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces
title_short Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces
title_full Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces
title_fullStr Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces
title_full_unstemmed Convergence Theorems for Asymptotically Quasi-Nonexpansive Type Mappings in Convex Metric Spaces
title_sort convergence theorems for asymptotically quasi-nonexpansive type mappings in convex metric spaces
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2013-10-01
description The aim of this paper to study a Noor-type iteration process with errors for approximating common fixed point of a finite family of uniformly L-Lipschitzian asymptotically quasi-nonexpansive type mappings in the framework of convex metric spaces. We give a necessary and sufficient condition for strong convergence of said iteration scheme involving a finite family of above said mappings and also establish a strong convergence theorem by using condition (A). The results presented in this paper extend, improve and unify some existing results in the previous work.
url http://www.etamaths.com/index.php/ijaa/article/view/125
work_keys_str_mv AT gssaluja convergencetheoremsforasymptoticallyquasinonexpansivetypemappingsinconvexmetricspaces
_version_ 1724862552044732416

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