Fixed Points of Contractive Mappings in b-Metric-Like Spaces

We discuss topological structure of b-metric-like spaces and demonstrate a fundamental lemma for the convergence of sequences. As an application we prove certain fixed point results in the setup of such spaces for different types of contractive mappings. Finally, some periodic point results in b-met...

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Detalles Bibliográficos
Autores principales: Hussain, Nawab, Roshan, Jamal Rezaei, Parvaneh, Vahid, Kadelburg, Zoran
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3988862/
https://www.ncbi.nlm.nih.gov/pubmed/25143980
http://dx.doi.org/10.1155/2014/471827
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author Hussain, Nawab
Roshan, Jamal Rezaei
Parvaneh, Vahid
Kadelburg, Zoran
author_facet Hussain, Nawab
Roshan, Jamal Rezaei
Parvaneh, Vahid
Kadelburg, Zoran
author_sort Hussain, Nawab
collection PubMed
description We discuss topological structure of b-metric-like spaces and demonstrate a fundamental lemma for the convergence of sequences. As an application we prove certain fixed point results in the setup of such spaces for different types of contractive mappings. Finally, some periodic point results in b-metric-like spaces are obtained. Two examples are presented in order to verify the effectiveness and applicability of our main results.
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spelling pubmed-39888622014-08-20 Fixed Points of Contractive Mappings in b-Metric-Like Spaces Hussain, Nawab Roshan, Jamal Rezaei Parvaneh, Vahid Kadelburg, Zoran ScientificWorldJournal Research Article We discuss topological structure of b-metric-like spaces and demonstrate a fundamental lemma for the convergence of sequences. As an application we prove certain fixed point results in the setup of such spaces for different types of contractive mappings. Finally, some periodic point results in b-metric-like spaces are obtained. Two examples are presented in order to verify the effectiveness and applicability of our main results. Hindawi Publishing Corporation 2014 2014-03-30 /pmc/articles/PMC3988862/ /pubmed/25143980 http://dx.doi.org/10.1155/2014/471827 Text en Copyright © 2014 Nawab Hussain et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Hussain, Nawab
Roshan, Jamal Rezaei
Parvaneh, Vahid
Kadelburg, Zoran
Fixed Points of Contractive Mappings in b-Metric-Like Spaces
title Fixed Points of Contractive Mappings in b-Metric-Like Spaces
title_full Fixed Points of Contractive Mappings in b-Metric-Like Spaces
title_fullStr Fixed Points of Contractive Mappings in b-Metric-Like Spaces
title_full_unstemmed Fixed Points of Contractive Mappings in b-Metric-Like Spaces
title_short Fixed Points of Contractive Mappings in b-Metric-Like Spaces
title_sort fixed points of contractive mappings in b-metric-like spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3988862/
https://www.ncbi.nlm.nih.gov/pubmed/25143980
http://dx.doi.org/10.1155/2014/471827
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