A Note on Asymptotic Contractions

A Note on Asymptotic Contractions

We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space X to converge to its unique fixed point, uniformly on each bounded subset of X.

Bibliographic Details
Main Authors: Marina Arav, Francisco Eduardo Castillo Santos, Simeon Reich, Alexander J. Zaslavski
Format: Article
Language:English
Published: SpringerOpen 2006-12-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/39465
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spelling doaj-373bebbe88ad40298d71a5cb3fd604342020-11-24T22:25:47ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122006-12-01200710.1155/2007/39465A Note on Asymptotic ContractionsMarina AravFrancisco Eduardo Castillo SantosSimeon ReichAlexander J. ZaslavskiWe provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space X to converge to its unique fixed point, uniformly on each bounded subset of X.http://dx.doi.org/10.1155/2007/39465
collection DOAJ
language English
format Article
sources DOAJ
author Marina Arav
Francisco Eduardo Castillo Santos
Simeon Reich
Alexander J. Zaslavski
spellingShingle Marina Arav
Francisco Eduardo Castillo Santos
Simeon Reich
Alexander J. Zaslavski
A Note on Asymptotic Contractions
Fixed Point Theory and Applications
author_facet Marina Arav
Francisco Eduardo Castillo Santos
Simeon Reich
Alexander J. Zaslavski
author_sort Marina Arav
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 2006-12-01
description We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space X to converge to its unique fixed point, uniformly on each bounded subset of X.
url http://dx.doi.org/10.1155/2007/39465
work_keys_str_mv AT marinaarav anoteonasymptoticcontractions
AT franciscoeduardocastillosantos anoteonasymptoticcontractions
AT simeonreich anoteonasymptoticcontractions
AT alexanderjzaslavski anoteonasymptoticcontractions
AT marinaarav noteonasymptoticcontractions
AT franciscoeduardocastillosantos noteonasymptoticcontractions
AT simeonreich noteonasymptoticcontractions
AT alexanderjzaslavski noteonasymptoticcontractions
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