Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function

OBJECTIVES: In this paper we present some fixed point theorems for self mappings satisfying generalized [Formula: see text] -weak contraction condition in partially ordered complete b-metric spaces. The results presented over here generalize and extend some existing results in the literature. Finall...

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Autores principales: Seshagiri Rao, Namana, Kalyani, Karusala, Mitiku, Belay
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2020
Materias:
Research Note
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7510304/
https://www.ncbi.nlm.nih.gov/pubmed/32962758
http://dx.doi.org/10.1186/s13104-020-05273-1
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author Seshagiri Rao, Namana
Kalyani, Karusala
Mitiku, Belay
author_facet Seshagiri Rao, Namana
Kalyani, Karusala
Mitiku, Belay
author_sort Seshagiri Rao, Namana
collection PubMed
description OBJECTIVES: In this paper we present some fixed point theorems for self mappings satisfying generalized [Formula: see text] -weak contraction condition in partially ordered complete b-metric spaces. The results presented over here generalize and extend some existing results in the literature. Finally, we illustrate two examples to support our results. RESULT: We obtained a unique fixed point of a self mapping satisfying certain contraction condition which is involving an auxiliary function. Also, the results are presented for the existence of a common fixed point and a coincidence point for generalized [Formula: see text] -weak contraction mappings in partially ordered complete b-metric space.
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spelling pubmed-75103042020-09-25 Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function Seshagiri Rao, Namana Kalyani, Karusala Mitiku, Belay BMC Res Notes Research Note OBJECTIVES: In this paper we present some fixed point theorems for self mappings satisfying generalized [Formula: see text] -weak contraction condition in partially ordered complete b-metric spaces. The results presented over here generalize and extend some existing results in the literature. Finally, we illustrate two examples to support our results. RESULT: We obtained a unique fixed point of a self mapping satisfying certain contraction condition which is involving an auxiliary function. Also, the results are presented for the existence of a common fixed point and a coincidence point for generalized [Formula: see text] -weak contraction mappings in partially ordered complete b-metric space. BioMed Central 2020-09-22 /pmc/articles/PMC7510304/ /pubmed/32962758 http://dx.doi.org/10.1186/s13104-020-05273-1 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
Seshagiri Rao, Namana
Kalyani, Karusala
Mitiku, Belay
Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function
title Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function
title_full Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function
title_fullStr Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function
title_full_unstemmed Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function
title_short Fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function
title_sort fixed point theorems for nonlinear contractive mappings in ordered b-metric space with auxiliary function
topic Research Note
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7510304/
https://www.ncbi.nlm.nih.gov/pubmed/32962758
http://dx.doi.org/10.1186/s13104-020-05273-1
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