Fixed Point Results for G-α-Contractive Maps with Application to Boundary Value Problems

We unify the concepts of G-metric, metric-like, and b-metric to define new notion of generalized b-metric-like space and discuss its topological and structural properties. In addition, certain fixed point theorems for two classes of G-α-admissible contractive mappings in such spaces are obtained and...

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Detalles Bibliográficos
Autores principales: Hussain, Nawab, Parvaneh, Vahid, Roshan, Jamal Rezaei
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/PMC4033538/
https://www.ncbi.nlm.nih.gov/pubmed/24895655
http://dx.doi.org/10.1155/2014/585964
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author Hussain, Nawab
Parvaneh, Vahid
Roshan, Jamal Rezaei
author_facet Hussain, Nawab
Parvaneh, Vahid
Roshan, Jamal Rezaei
author_sort Hussain, Nawab
collection PubMed
description We unify the concepts of G-metric, metric-like, and b-metric to define new notion of generalized b-metric-like space and discuss its topological and structural properties. In addition, certain fixed point theorems for two classes of G-α-admissible contractive mappings in such spaces are obtained and some new fixed point results are derived in corresponding partially ordered space. Moreover, some examples and an application to the existence of a solution for the first-order periodic boundary value problem are provided here to illustrate the usability of the obtained results.
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spelling pubmed-40335382014-06-03 Fixed Point Results for G-α-Contractive Maps with Application to Boundary Value Problems Hussain, Nawab Parvaneh, Vahid Roshan, Jamal Rezaei ScientificWorldJournal Research Article We unify the concepts of G-metric, metric-like, and b-metric to define new notion of generalized b-metric-like space and discuss its topological and structural properties. In addition, certain fixed point theorems for two classes of G-α-admissible contractive mappings in such spaces are obtained and some new fixed point results are derived in corresponding partially ordered space. Moreover, some examples and an application to the existence of a solution for the first-order periodic boundary value problem are provided here to illustrate the usability of the obtained results. Hindawi Publishing Corporation 2014 2014-05-07 /pmc/articles/PMC4033538/ /pubmed/24895655 http://dx.doi.org/10.1155/2014/585964 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
Parvaneh, Vahid
Roshan, Jamal Rezaei
Fixed Point Results for G-α-Contractive Maps with Application to Boundary Value Problems
title Fixed Point Results for G-α-Contractive Maps with Application to Boundary Value Problems
title_full Fixed Point Results for G-α-Contractive Maps with Application to Boundary Value Problems
title_fullStr Fixed Point Results for G-α-Contractive Maps with Application to Boundary Value Problems
title_full_unstemmed Fixed Point Results for G-α-Contractive Maps with Application to Boundary Value Problems
title_short Fixed Point Results for G-α-Contractive Maps with Application to Boundary Value Problems
title_sort fixed point results for g-α-contractive maps with application to boundary value problems
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4033538/
https://www.ncbi.nlm.nih.gov/pubmed/24895655
http://dx.doi.org/10.1155/2014/585964
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AT parvanehvahid fixedpointresultsforgacontractivemapswithapplicationtoboundaryvalueproblems
AT roshanjamalrezaei fixedpointresultsforgacontractivemapswithapplicationtoboundaryvalueproblems

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