A Note on Asymptotic Contractions

A Note on Asymptotic Contractions

<p/> <p>We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space <inline-formula><graphic file="1687-1812-2007-039465-i1.gif"/></inline-formula> to converge to its unique fixed point, uniformly on each bounded s...

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Bibliographic Details
Main Authors: Castillo Santos Francisco Eduardo, Reich Simeon, Zaslavski Alexander J, Arav Marina
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2007/039465
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spelling doaj-584430d082d74821b2b38dc52e5aedd82020-11-25T01:30:52ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122007-01-0120071039465A Note on Asymptotic ContractionsCastillo Santos Francisco EduardoReich SimeonZaslavski Alexander JArav Marina<p/> <p>We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space <inline-formula><graphic file="1687-1812-2007-039465-i1.gif"/></inline-formula> to converge to its unique fixed point, uniformly on each bounded subset of <inline-formula><graphic file="1687-1812-2007-039465-i2.gif"/></inline-formula>.</p> http://www.fixedpointtheoryandapplications.com/content/2007/039465
collection DOAJ
language English
format Article
sources DOAJ
author Castillo Santos Francisco Eduardo
Reich Simeon
Zaslavski Alexander J
Arav Marina
spellingShingle Castillo Santos Francisco Eduardo
Reich Simeon
Zaslavski Alexander J
Arav Marina
A Note on Asymptotic Contractions
Fixed Point Theory and Applications
author_facet Castillo Santos Francisco Eduardo
Reich Simeon
Zaslavski Alexander J
Arav Marina
author_sort Castillo Santos Francisco Eduardo
title A Note on Asymptotic Contractions
title_short A Note on Asymptotic Contractions
title_full A Note on Asymptotic Contractions
title_fullStr A Note on Asymptotic Contractions
title_full_unstemmed A Note on Asymptotic Contractions
title_sort note on asymptotic contractions
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2007-01-01
description <p/> <p>We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space <inline-formula><graphic file="1687-1812-2007-039465-i1.gif"/></inline-formula> to converge to its unique fixed point, uniformly on each bounded subset of <inline-formula><graphic file="1687-1812-2007-039465-i2.gif"/></inline-formula>.</p>
url http://www.fixedpointtheoryandapplications.com/content/2007/039465
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AT reichsimeon anoteonasymptoticcontractions
AT zaslavskialexanderj anoteonasymptoticcontractions
AT aravmarina anoteonasymptoticcontractions
AT castillosantosfranciscoeduardo noteonasymptoticcontractions
AT reichsimeon noteonasymptoticcontractions
AT zaslavskialexanderj noteonasymptoticcontractions
AT aravmarina noteonasymptoticcontractions
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