Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces

Azam et al. (2011), introduce the notion of complex valued metric spaces and obtained common fixed point result for mappings in the context of complex valued metric spaces. Rao et al. (2013) introduce the notion of complex valued b-metric spaces. In this paper, we generalize the results of Azam et a...

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Detalles Bibliográficos
Autor principal: Mukheimer, Aiman A.
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/PMC4058227/
https://www.ncbi.nlm.nih.gov/pubmed/24971385
http://dx.doi.org/10.1155/2014/587825
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author Mukheimer, Aiman A.
author_facet Mukheimer, Aiman A.
author_sort Mukheimer, Aiman A.
collection PubMed
description Azam et al. (2011), introduce the notion of complex valued metric spaces and obtained common fixed point result for mappings in the context of complex valued metric spaces. Rao et al. (2013) introduce the notion of complex valued b-metric spaces. In this paper, we generalize the results of Azam et al. (2011), and Bhatt et al. (2011), by improving the conditions of contraction to establish the existence and uniqueness of common fixed point for two self-mappings on complex valued b-metric spaces. Some examples are given to illustrate the main results.
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spelling pubmed-40582272014-06-26 Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces Mukheimer, Aiman A. ScientificWorldJournal Research Article Azam et al. (2011), introduce the notion of complex valued metric spaces and obtained common fixed point result for mappings in the context of complex valued metric spaces. Rao et al. (2013) introduce the notion of complex valued b-metric spaces. In this paper, we generalize the results of Azam et al. (2011), and Bhatt et al. (2011), by improving the conditions of contraction to establish the existence and uniqueness of common fixed point for two self-mappings on complex valued b-metric spaces. Some examples are given to illustrate the main results. Hindawi Publishing Corporation 2014 2014-05-25 /pmc/articles/PMC4058227/ /pubmed/24971385 http://dx.doi.org/10.1155/2014/587825 Text en Copyright © 2014 Aiman A. Mukheimer. 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
Mukheimer, Aiman A.
Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces
title Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces
title_full Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces
title_fullStr Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces
title_full_unstemmed Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces
title_short Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces
title_sort some common fixed point theorems in complex valued b-metric spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4058227/
https://www.ncbi.nlm.nih.gov/pubmed/24971385
http://dx.doi.org/10.1155/2014/587825
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