Fixed point results of weakly contraction mappings in partially ordered b-metric spaces

OBJECTIVES: We explored the results of fixed point, coincidence point and coupled coincidence point for the mappings in an ordered metric spaces. Our results generalized and extended the well-known results in the literature. Some numerical examples are provided for justifying the results obtained. R...

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Detalles Bibliográficos
Autores principales: Kalyani, K., Seshagiri Rao, N.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2022
Materias:
Research Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8830028/
https://www.ncbi.nlm.nih.gov/pubmed/35139900
http://dx.doi.org/10.1186/s13104-022-05914-7
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author Kalyani, K.
Seshagiri Rao, N.
author_facet Kalyani, K.
Seshagiri Rao, N.
author_sort Kalyani, K.
collection PubMed
description OBJECTIVES: We explored the results of fixed point, coincidence point and coupled coincidence point for the mappings in an ordered metric spaces. Our results generalized and extended the well-known results in the literature. Some numerical examples are provided for justifying the results obtained. RESULT: Some fixed point results are found for a self mapping in a partially ordered b-metric space which satisfies a generalized week contraction condition. Furthermore, these results are extended for two self mappings for obtaining coincidence point, coupled coincidence point and coupled common fixed point in the same context. A few examples are presented to support the findings.
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spelling pubmed-88300282022-02-11 Fixed point results of weakly contraction mappings in partially ordered b-metric spaces Kalyani, K. Seshagiri Rao, N. BMC Res Notes Research Note OBJECTIVES: We explored the results of fixed point, coincidence point and coupled coincidence point for the mappings in an ordered metric spaces. Our results generalized and extended the well-known results in the literature. Some numerical examples are provided for justifying the results obtained. RESULT: Some fixed point results are found for a self mapping in a partially ordered b-metric space which satisfies a generalized week contraction condition. Furthermore, these results are extended for two self mappings for obtaining coincidence point, coupled coincidence point and coupled common fixed point in the same context. A few examples are presented to support the findings. BioMed Central 2022-02-09 /pmc/articles/PMC8830028/ /pubmed/35139900 http://dx.doi.org/10.1186/s13104-022-05914-7 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/ (https://creativecommons.org/publicdomain/zero/1.0/) ) applies to the data made available in this article, unless otherwise stated in a credit line to the data.
spellingShingle Research Note
Kalyani, K.
Seshagiri Rao, N.
Fixed point results of weakly contraction mappings in partially ordered b-metric spaces
title Fixed point results of weakly contraction mappings in partially ordered b-metric spaces
title_full Fixed point results of weakly contraction mappings in partially ordered b-metric spaces
title_fullStr Fixed point results of weakly contraction mappings in partially ordered b-metric spaces
title_full_unstemmed Fixed point results of weakly contraction mappings in partially ordered b-metric spaces
title_short Fixed point results of weakly contraction mappings in partially ordered b-metric spaces
title_sort fixed point results of weakly contraction mappings in partially ordered b-metric spaces
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8830028/
https://www.ncbi.nlm.nih.gov/pubmed/35139900
http://dx.doi.org/10.1186/s13104-022-05914-7
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