Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications

We extend the notion of generalized weakly contraction mappings due to Choudhury et al. (2011) to generalized α-β-weakly contraction mappings. We show with examples that our new class of mappings is a real generalization of several known classes of mappings. We also establish fixed point results for...

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Detalles Bibliográficos
Autores principales: Latif, Abdul, Mongkolkeha, Chirasak, Sintunavarat, Wutiphol
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/PMC4034443/
https://www.ncbi.nlm.nih.gov/pubmed/24895662
http://dx.doi.org/10.1155/2014/784207
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author Latif, Abdul
Mongkolkeha, Chirasak
Sintunavarat, Wutiphol
author_facet Latif, Abdul
Mongkolkeha, Chirasak
Sintunavarat, Wutiphol
author_sort Latif, Abdul
collection PubMed
description We extend the notion of generalized weakly contraction mappings due to Choudhury et al. (2011) to generalized α-β-weakly contraction mappings. We show with examples that our new class of mappings is a real generalization of several known classes of mappings. We also establish fixed point results for such mappings in metric spaces. Applying our new results, we obtain fixed point results on ordinary metric spaces, metric spaces endowed with an arbitrary binary relation, and metric spaces endowed with graph.
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spelling pubmed-40344432014-06-03 Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications Latif, Abdul Mongkolkeha, Chirasak Sintunavarat, Wutiphol ScientificWorldJournal Research Article We extend the notion of generalized weakly contraction mappings due to Choudhury et al. (2011) to generalized α-β-weakly contraction mappings. We show with examples that our new class of mappings is a real generalization of several known classes of mappings. We also establish fixed point results for such mappings in metric spaces. Applying our new results, we obtain fixed point results on ordinary metric spaces, metric spaces endowed with an arbitrary binary relation, and metric spaces endowed with graph. Hindawi Publishing Corporation 2014 2014-05-07 /pmc/articles/PMC4034443/ /pubmed/24895662 http://dx.doi.org/10.1155/2014/784207 Text en Copyright © 2014 Abdul Latif 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
Latif, Abdul
Mongkolkeha, Chirasak
Sintunavarat, Wutiphol
Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications
title Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications
title_full Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications
title_fullStr Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications
title_full_unstemmed Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications
title_short Fixed Point Theorems for Generalized α-β-Weakly Contraction Mappings in Metric Spaces and Applications
title_sort fixed point theorems for generalized α-β-weakly contraction mappings in metric spaces and applications
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4034443/
https://www.ncbi.nlm.nih.gov/pubmed/24895662
http://dx.doi.org/10.1155/2014/784207
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AT mongkolkehachirasak fixedpointtheoremsforgeneralizedabweaklycontractionmappingsinmetricspacesandapplications
AT sintunavaratwutiphol fixedpointtheoremsforgeneralizedabweaklycontractionmappingsinmetricspacesandapplications

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