Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications

We study Knaster-Kuratowski-Mazurkiewicz theorem in the setting of generalized metric spaces. We establish some results on fixed points of Knaster-Kuratowski-Mazurkiewicz (KKM) mappings. Fan’s matching and Schauder’s type fixed point theorem in generalized metric spaces are also proved as interestin...

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Auteurs principaux:	Nayyar Mehmood, Israr Ali Khan, Haris Latif, Niaz Ahmad
Format:	article
Langue:	EN
Publié:	Hindawi Limited 2021
Sujets:	Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/221e7915a3ee4cf994cd6b25c6a2bd63
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spelling	oai:doaj.org-article:221e7915a3ee4cf994cd6b25c6a2bd632021-11-22T01:10:50ZKnaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications2314-888810.1155/2021/5974285https://doaj.org/article/221e7915a3ee4cf994cd6b25c6a2bd632021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5974285https://doaj.org/toc/2314-8888We study Knaster-Kuratowski-Mazurkiewicz theorem in the setting of generalized metric spaces. We establish some results on fixed points of Knaster-Kuratowski-Mazurkiewicz (KKM) mappings. Fan’s matching and Schauder’s type fixed point theorem in generalized metric spaces are also proved as interesting consequences of our main results. Examples are given to validate our results. We use these results to prove existence result for a given Atangana-Baleanu-Caputo fractional boundary value problem.Nayyar MehmoodIsrar Ali KhanHaris LatifNiaz AhmadHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Nayyar Mehmood Israr Ali Khan Haris Latif Niaz Ahmad Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications
description	We study Knaster-Kuratowski-Mazurkiewicz theorem in the setting of generalized metric spaces. We establish some results on fixed points of Knaster-Kuratowski-Mazurkiewicz (KKM) mappings. Fan’s matching and Schauder’s type fixed point theorem in generalized metric spaces are also proved as interesting consequences of our main results. Examples are given to validate our results. We use these results to prove existence result for a given Atangana-Baleanu-Caputo fractional boundary value problem.
format	article
author	Nayyar Mehmood Israr Ali Khan Haris Latif Niaz Ahmad
author_facet	Nayyar Mehmood Israr Ali Khan Haris Latif Niaz Ahmad
author_sort	Nayyar Mehmood
title	Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications
title_short	Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications
title_full	Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications
title_fullStr	Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications
title_full_unstemmed	Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications
title_sort	knaster-kuratowski-mazurkiewicz theorem in generalized metric spaces with applications
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/221e7915a3ee4cf994cd6b25c6a2bd63
work_keys_str_mv	AT nayyarmehmood knasterkuratowskimazurkiewicztheoremingeneralizedmetricspaceswithapplications AT israralikhan knasterkuratowskimazurkiewicztheoremingeneralizedmetricspaceswithapplications AT harislatif knasterkuratowskimazurkiewicztheoremingeneralizedmetricspaceswithapplications AT niazahmad knasterkuratowskimazurkiewicztheoremingeneralizedmetricspaceswithapplications
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Knaster-Kuratowski-Mazurkiewicz Theorem in Generalized Metric Spaces with Applications

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