Fixed point results for weak contractions in partially ordered b-metric space

OBJECTIVES: We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized [Formula: see text] -weak contraction. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the sa...

Descripción completa

Detalles Bibliográficos
Autores principales: Seshagiri Rao, N., Kalyani, K., Prasad, K.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2021
Materias:
Research Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8268617/
https://www.ncbi.nlm.nih.gov/pubmed/34238337
http://dx.doi.org/10.1186/s13104-021-05649-x
_version_ 1783720396840763392
author Seshagiri Rao, N.
Kalyani, K.
Prasad, K.
author_facet Seshagiri Rao, N.
Kalyani, K.
Prasad, K.
author_sort Seshagiri Rao, N.
collection PubMed
description OBJECTIVES: We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized [Formula: see text] -weak contraction. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition. These findings generalize and build on a few recent studies in the literature. At the end, we provided some examples to back up our findings. RESULT: In partially ordered b-metric spaces, it is discussed how to obtain a fixed point and its uniqueness of a mapping, and also investigated the existence of a coincidence point and a coupled coincidence point for two mappings that satisfying generalized weak contraction conditions.
format Online
Article
Text
id pubmed-8268617
institution National Center for Biotechnology Information
language English
publishDate 2021
publisher BioMed Central
record_format MEDLINE/PubMed
spelling pubmed-82686172021-07-12 Fixed point results for weak contractions in partially ordered b-metric space Seshagiri Rao, N. Kalyani, K. Prasad, K. BMC Res Notes Research Note OBJECTIVES: We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized [Formula: see text] -weak contraction. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition. These findings generalize and build on a few recent studies in the literature. At the end, we provided some examples to back up our findings. RESULT: In partially ordered b-metric spaces, it is discussed how to obtain a fixed point and its uniqueness of a mapping, and also investigated the existence of a coincidence point and a coupled coincidence point for two mappings that satisfying generalized weak contraction conditions. BioMed Central 2021-07-08 /pmc/articles/PMC8268617/ /pubmed/34238337 http://dx.doi.org/10.1186/s13104-021-05649-x Text en © The Author(s) 2021 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
Seshagiri Rao, N.
Kalyani, K.
Prasad, K.
Fixed point results for weak contractions in partially ordered b-metric space
title Fixed point results for weak contractions in partially ordered b-metric space
title_full Fixed point results for weak contractions in partially ordered b-metric space
title_fullStr Fixed point results for weak contractions in partially ordered b-metric space
title_full_unstemmed Fixed point results for weak contractions in partially ordered b-metric space
title_short Fixed point results for weak contractions in partially ordered b-metric space
title_sort fixed point results for weak contractions in partially ordered b-metric space
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8268617/
https://www.ncbi.nlm.nih.gov/pubmed/34238337
http://dx.doi.org/10.1186/s13104-021-05649-x
work_keys_str_mv AT seshagiriraon fixedpointresultsforweakcontractionsinpartiallyorderedbmetricspace
AT kalyanik fixedpointresultsforweakcontractionsinpartiallyorderedbmetricspace
AT prasadk fixedpointresultsforweakcontractionsinpartiallyorderedbmetricspace

Ejemplares similares