On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings

<p/> <p>Let <inline-formula><graphic file="1687-1812-2006-96737-i2.gif"/></inline-formula> be a closed subset of a Banach space and <inline-formula><graphic file="1687-1812-2006-96737-i3.gif"/></inline-formula> an ultimately nonexpa...

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Main Author:	Kiang MoTak
Format:	Article
Language:	English
Published:	SpringerOpen 2006-01-01
Series:	Fixed Point Theory and Applications
Online Access:	http://www.fixedpointtheoryandapplications.com/content/2006/96737

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spelling	doaj-87ab6ba796f14b6491d30e5db80b15702020-11-25T01:01:00ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122006-01-012006196737On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappingsKiang MoTak<p/> <p>Let <inline-formula><graphic file="1687-1812-2006-96737-i2.gif"/></inline-formula> be a closed subset of a Banach space and <inline-formula><graphic file="1687-1812-2006-96737-i3.gif"/></inline-formula> an ultimately nonexpansive commutative semigroup of continuous selfmappings. If the <inline-formula><graphic file="1687-1812-2006-96737-i4.gif"/></inline-formula>-closure of <inline-formula><graphic file="1687-1812-2006-96737-i5.gif"/></inline-formula> is nonempty, then the closure of the orbit of any <inline-formula><graphic file="1687-1812-2006-96737-i6.gif"/></inline-formula>-closure point is a commutative topological group.</p> http://www.fixedpointtheoryandapplications.com/content/2006/96737
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kiang MoTak
spellingShingle	Kiang MoTak On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings Fixed Point Theory and Applications
author_facet	Kiang MoTak
author_sort	Kiang MoTak
title	On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings
title_short	On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings
title_full	On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings
title_fullStr	On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings
title_full_unstemmed	On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings
title_sort	on the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings
publisher	SpringerOpen
series	Fixed Point Theory and Applications
issn	1687-1820 1687-1812
publishDate	2006-01-01
description	<p/> <p>Let <inline-formula><graphic file="1687-1812-2006-96737-i2.gif"/></inline-formula> be a closed subset of a Banach space and <inline-formula><graphic file="1687-1812-2006-96737-i3.gif"/></inline-formula> an ultimately nonexpansive commutative semigroup of continuous selfmappings. If the <inline-formula><graphic file="1687-1812-2006-96737-i4.gif"/></inline-formula>-closure of <inline-formula><graphic file="1687-1812-2006-96737-i5.gif"/></inline-formula> is nonempty, then the closure of the orbit of any <inline-formula><graphic file="1687-1812-2006-96737-i6.gif"/></inline-formula>-closure point is a commutative topological group.</p>
url	http://www.fixedpointtheoryandapplications.com/content/2006/96737
work_keys_str_mv	AT kiangmotak ontheorbitsofinlineformulagraphicfile16871812200696737i1gifinlineformulaclosurepointsofultimatelynonexpansivemappings
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On the orbits of <inline-formula><graphic file="1687-1812-2006-96737-i1.gif"/></inline-formula>-closure points of ultimately nonexpansive mappings

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