Existence of Fixed Point Results in 𝐺-Metric Spaces

The purpose of this paper is to prove the existence of fixed points of contractive mapping defined on 𝐺-metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of 𝐺-metric spaces.

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Main Authors: Zead Mustafa, Wasfi Shatanawi, Malik Bataineh
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/283028
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author Zead Mustafa
Wasfi Shatanawi
Malik Bataineh
author_facet Zead Mustafa
Wasfi Shatanawi
Malik Bataineh
author_sort Zead Mustafa
collection DOAJ
description The purpose of this paper is to prove the existence of fixed points of contractive mapping defined on 𝐺-metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of 𝐺-metric spaces.
format Article
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institution Kabale University
issn 0161-1712
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language English
publishDate 2009-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8a9ece10312b4b1f8d97e7887f1f78702025-02-03T06:13:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/283028283028Existence of Fixed Point Results in 𝐺-Metric SpacesZead Mustafa0Wasfi Shatanawi1Malik Bataineh2Department of Mathematics, The Hashemite University, P.O. Box 150459, Zarqa 13115, JordanDepartment of Mathematics, The Hashemite University, P.O. Box 150459, Zarqa 13115, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, JordanThe purpose of this paper is to prove the existence of fixed points of contractive mapping defined on 𝐺-metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of 𝐺-metric spaces.http://dx.doi.org/10.1155/2009/283028
spellingShingle Zead Mustafa
Wasfi Shatanawi
Malik Bataineh
Existence of Fixed Point Results in 𝐺-Metric Spaces
International Journal of Mathematics and Mathematical Sciences
title Existence of Fixed Point Results in 𝐺-Metric Spaces
title_full Existence of Fixed Point Results in 𝐺-Metric Spaces
title_fullStr Existence of Fixed Point Results in 𝐺-Metric Spaces
title_full_unstemmed Existence of Fixed Point Results in 𝐺-Metric Spaces
title_short Existence of Fixed Point Results in 𝐺-Metric Spaces
title_sort existence of fixed point results in 𝐺 metric spaces
url http://dx.doi.org/10.1155/2009/283028
work_keys_str_mv AT zeadmustafa existenceoffixedpointresultsingmetricspaces
AT wasfishatanawi existenceoffixedpointresultsingmetricspaces
AT malikbataineh existenceoffixedpointresultsingmetricspaces