Weak Contractions, Common Fixed Points, and Invariant Approximations

<p/> <p>The existence of common fixed points is established for the mappings, where <inline-formula> <graphic file="1029-242X-2009-390634-i1.gif"/></inline-formula> is <inline-formula> <graphic file="1029-242X-2009-390634-i2.gif"/></in...

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Main Authors:	Cho YeolJe, Hussain Nawab
Format:	Article
Language:	English
Published:	SpringerOpen 2009-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://www.journalofinequalitiesandapplications.com/content/2009/390634

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record_format	Article
spelling	doaj-72ab2197f11d464c9bba79bf8700a4482020-11-24T21:02:02ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091390634Weak Contractions, Common Fixed Points, and Invariant ApproximationsCho YeolJeHussain Nawab<p/> <p>The existence of common fixed points is established for the mappings, where <inline-formula> <graphic file="1029-242X-2009-390634-i1.gif"/></inline-formula> is <inline-formula> <graphic file="1029-242X-2009-390634-i2.gif"/></inline-formula>-weak contraction on a nonempty subset of a Banach space. As application, some results on the invariant best approximation are proved. Our results unify and substantially improve several recent results given by some authors.</p>http://www.journalofinequalitiesandapplications.com/content/2009/390634
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Cho YeolJe Hussain Nawab
spellingShingle	Cho YeolJe Hussain Nawab Weak Contractions, Common Fixed Points, and Invariant Approximations Journal of Inequalities and Applications
author_facet	Cho YeolJe Hussain Nawab
author_sort	Cho YeolJe
title	Weak Contractions, Common Fixed Points, and Invariant Approximations
title_short	Weak Contractions, Common Fixed Points, and Invariant Approximations
title_full	Weak Contractions, Common Fixed Points, and Invariant Approximations
title_fullStr	Weak Contractions, Common Fixed Points, and Invariant Approximations
title_full_unstemmed	Weak Contractions, Common Fixed Points, and Invariant Approximations
title_sort	weak contractions, common fixed points, and invariant approximations
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1025-5834 1029-242X
publishDate	2009-01-01
description	<p/> <p>The existence of common fixed points is established for the mappings, where <inline-formula> <graphic file="1029-242X-2009-390634-i1.gif"/></inline-formula> is <inline-formula> <graphic file="1029-242X-2009-390634-i2.gif"/></inline-formula>-weak contraction on a nonempty subset of a Banach space. As application, some results on the invariant best approximation are proved. Our results unify and substantially improve several recent results given by some authors.</p>
url	http://www.journalofinequalitiesandapplications.com/content/2009/390634
work_keys_str_mv	AT choyeolje weakcontractionscommonfixedpointsandinvariantapproximations AT hussainnawab weakcontractionscommonfixedpointsandinvariantapproximations
_version_	1716776860229042176

Weak Contractions, Common Fixed Points, and Invariant Approximations

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