Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces

The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We a...

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Detalles Bibliográficos
Autores principales: Hussain, N., Parvaneh, V., Hoseini Ghoncheh, S. J.
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/PMC4150471/
https://www.ncbi.nlm.nih.gov/pubmed/25202742
http://dx.doi.org/10.1155/2014/941086
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author Hussain, N.
Parvaneh, V.
Hoseini Ghoncheh, S. J.
author_facet Hussain, N.
Parvaneh, V.
Hoseini Ghoncheh, S. J.
author_sort Hussain, N.
collection PubMed
description The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially ordered G-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results.
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spelling pubmed-41504712014-09-08 Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces Hussain, N. Parvaneh, V. Hoseini Ghoncheh, S. J. ScientificWorldJournal Research Article The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially ordered G-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results. Hindawi Publishing Corporation 2014 2014-08-17 /pmc/articles/PMC4150471/ /pubmed/25202742 http://dx.doi.org/10.1155/2014/941086 Text en Copyright © 2014 N. 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, N.
Parvaneh, V.
Hoseini Ghoncheh, S. J.
Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces
title Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces
title_full Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces
title_fullStr Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces
title_full_unstemmed Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces
title_short Generalized Contractive Mappings and Weakly α-Admissible Pairs in G-Metric Spaces
title_sort generalized contractive mappings and weakly α-admissible pairs in g-metric spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4150471/
https://www.ncbi.nlm.nih.gov/pubmed/25202742
http://dx.doi.org/10.1155/2014/941086
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