Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces

Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces

<p/> <p>We consider a new Noor-type iterative procedure with errors for approximating the common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved for such iterative sequence...

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Main Authors: You-xian Tian, Chun-de Yang
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2009/891965
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spelling doaj-2489f14734ea4e0caf98f740049f22332020-11-25T00:09:37ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-0120091891965Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric SpacesYou-xian TianChun-de Yang<p/> <p>We consider a new Noor-type iterative procedure with errors for approximating the common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved for such iterative sequences involving a finite family of uniformly quasi-Lipschitzian mappings. The results presented in this paper extend, improve and unify some main results in previous work.</p>http://www.fixedpointtheoryandapplications.com/content/2009/891965
collection DOAJ
language English
format Article
sources DOAJ
author You-xian Tian
Chun-de Yang
spellingShingle You-xian Tian
Chun-de Yang
Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces
Fixed Point Theory and Applications
author_facet You-xian Tian
Chun-de Yang
author_sort You-xian Tian
title Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces
title_short Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces
title_full Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces
title_fullStr Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces
title_full_unstemmed Convergence Theorems of Three-Step Iterative Scheme for a Finite Family of Uniformly Quasi-Lipschitzian Mappings in Convex Metric Spaces
title_sort convergence theorems of three-step iterative scheme for a finite family of uniformly quasi-lipschitzian mappings in convex metric spaces
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2009-01-01
description <p/> <p>We consider a new Noor-type iterative procedure with errors for approximating the common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved for such iterative sequences involving a finite family of uniformly quasi-Lipschitzian mappings. The results presented in this paper extend, improve and unify some main results in previous work.</p>
url http://www.fixedpointtheoryandapplications.com/content/2009/891965
work_keys_str_mv AT youxiantian convergencetheoremsofthreestepiterativeschemeforafinitefamilyofuniformlyquasilipschitzianmappingsinconvexmetricspaces
AT chundeyang convergencetheoremsofthreestepiterativeschemeforafinitefamilyofuniformlyquasilipschitzianmappingsinconvexmetricspaces
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