Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits

<p/> <p>We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings. We consider the case of metric spaces and, in particular, CAT<inline-f...

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Main Author:	Nicolae Adriana
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Fixed Point Theory and Applications
Online Access:	http://www.fixedpointtheoryandapplications.com/content/2010/458265

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spelling	doaj-6ab13c51d46447f6a8de83821b7fb88e2020-11-25T00:25:32ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101458265Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving OrbitsNicolae Adriana<p/> <p>We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings. We consider the case of metric spaces and, in particular, CAT<inline-formula> <graphic file="1687-1812-2010-458265-i1.gif"/></inline-formula> spaces. We also study the well-posedness of these fixed point problems.</p>http://www.fixedpointtheoryandapplications.com/content/2010/458265
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nicolae Adriana
spellingShingle	Nicolae Adriana Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits Fixed Point Theory and Applications
author_facet	Nicolae Adriana
author_sort	Nicolae Adriana
title	Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
title_short	Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
title_full	Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
title_fullStr	Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
title_full_unstemmed	Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
title_sort	generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits
publisher	SpringerOpen
series	Fixed Point Theory and Applications
issn	1687-1820 1687-1812
publishDate	2010-01-01
description	<p/> <p>We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings. We consider the case of metric spaces and, in particular, CAT<inline-formula> <graphic file="1687-1812-2010-458265-i1.gif"/></inline-formula> spaces. We also study the well-posedness of these fixed point problems.</p>
url	http://www.fixedpointtheoryandapplications.com/content/2010/458265
work_keys_str_mv	AT nicolaeadriana generalizedasymptoticpointwisecontractionsandnonexpansivemappingsinvolvingorbits
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Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits

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