Some fixed point results of generalized [Formula: see text] -contractive mappings in ordered b-metric spaces

OBJECTIVES: The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized [Formula: see text] -contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and unify most of the f...

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Detalles Bibliográficos
Autores principales: Mitiku, Belay, Karusala, Kalyani, Namana, Seshagiri Rao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2020
Materias:
Research Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7672930/
https://www.ncbi.nlm.nih.gov/pubmed/33203473
http://dx.doi.org/10.1186/s13104-020-05354-1
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author Mitiku, Belay
Karusala, Kalyani
Namana, Seshagiri Rao
author_facet Mitiku, Belay
Karusala, Kalyani
Namana, Seshagiri Rao
author_sort Mitiku, Belay
collection PubMed
description OBJECTIVES: The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized [Formula: see text] -contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. Few examples are illustrated to justify our results. RESULT: The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized [Formula: see text] -contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature.
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spelling pubmed-76729302020-11-19 Some fixed point results of generalized [Formula: see text] -contractive mappings in ordered b-metric spaces Mitiku, Belay Karusala, Kalyani Namana, Seshagiri Rao BMC Res Notes Research Note OBJECTIVES: The aim of this paper is to establish some fixed point, coincidence point and, coupled coincidence and coupled common fixed point results for generalized [Formula: see text] -contractive mappings in partially ordered b-metric spaces. Our results generalize, extend and unify most of the fundamental metrical fixed point theorems in the existing literature. Few examples are illustrated to justify our results. RESULT: The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized [Formula: see text] -contractive conditions in complete partially ordered b-metric spaces are proved. These results generalize several comparable results in the existing literature. BioMed Central 2020-11-17 /pmc/articles/PMC7672930/ /pubmed/33203473 http://dx.doi.org/10.1186/s13104-020-05354-1 Text en © The Author(s) 2020 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/. The Creative Commons Public Domain Dedication waiver (http://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
Mitiku, Belay
Karusala, Kalyani
Namana, Seshagiri Rao
Some fixed point results of generalized [Formula: see text] -contractive mappings in ordered b-metric spaces
title Some fixed point results of generalized [Formula: see text] -contractive mappings in ordered b-metric spaces
title_full Some fixed point results of generalized [Formula: see text] -contractive mappings in ordered b-metric spaces
title_fullStr Some fixed point results of generalized [Formula: see text] -contractive mappings in ordered b-metric spaces
title_full_unstemmed Some fixed point results of generalized [Formula: see text] -contractive mappings in ordered b-metric spaces
title_short Some fixed point results of generalized [Formula: see text] -contractive mappings in ordered b-metric spaces
title_sort some fixed point results of generalized [formula: see text] -contractive mappings in ordered b-metric spaces
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7672930/
https://www.ncbi.nlm.nih.gov/pubmed/33203473
http://dx.doi.org/10.1186/s13104-020-05354-1
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