Nonlinear Contractions in 0-Complete Partial Metric Spaces

Using the setting of 0-complete partial metric spaces, some common fixed point results of maps that satisfy the nonlinear contractive conditions are obtained. These results generalize and improve the existing fixed point results in the literature in the sense that weaker conditions are used. An exam...

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Main Authors: Abd Ghafur Bin Ahmad, Zaid Mohammed Fadail, Vesna Ćojbašić Rajić, Stojan Radenović
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/451239
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author Abd Ghafur Bin Ahmad
Zaid Mohammed Fadail
Vesna Ćojbašić Rajić
Stojan Radenović
author_facet Abd Ghafur Bin Ahmad
Zaid Mohammed Fadail
Vesna Ćojbašić Rajić
Stojan Radenović
author_sort Abd Ghafur Bin Ahmad
collection DOAJ
description Using the setting of 0-complete partial metric spaces, some common fixed point results of maps that satisfy the nonlinear contractive conditions are obtained. These results generalize and improve the existing fixed point results in the literature in the sense that weaker conditions are used. An example shows how our result can be used when the corresponding result in standard metric cannot.
format Article
id doaj-art-7c6744e8f4c54dddb901ee1feb634ef2
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-7c6744e8f4c54dddb901ee1feb634ef22025-08-20T03:35:44ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/451239451239Nonlinear Contractions in 0-Complete Partial Metric SpacesAbd Ghafur Bin Ahmad0Zaid Mohammed Fadail1Vesna Ćojbašić Rajić2Stojan Radenović3School of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor Darul Ehsan, MalaysiaSchool of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, 43600 UKM, Bangi, Selangor Darul Ehsan, MalaysiaFaculty of Economics, University of Belgrade, Kamenička 6, 11000 Beograd, SerbiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, SerbiaUsing the setting of 0-complete partial metric spaces, some common fixed point results of maps that satisfy the nonlinear contractive conditions are obtained. These results generalize and improve the existing fixed point results in the literature in the sense that weaker conditions are used. An example shows how our result can be used when the corresponding result in standard metric cannot.http://dx.doi.org/10.1155/2012/451239
spellingShingle Abd Ghafur Bin Ahmad
Zaid Mohammed Fadail
Vesna Ćojbašić Rajić
Stojan Radenović
Nonlinear Contractions in 0-Complete Partial Metric Spaces
Abstract and Applied Analysis
title Nonlinear Contractions in 0-Complete Partial Metric Spaces
title_full Nonlinear Contractions in 0-Complete Partial Metric Spaces
title_fullStr Nonlinear Contractions in 0-Complete Partial Metric Spaces
title_full_unstemmed Nonlinear Contractions in 0-Complete Partial Metric Spaces
title_short Nonlinear Contractions in 0-Complete Partial Metric Spaces
title_sort nonlinear contractions in 0 complete partial metric spaces
url http://dx.doi.org/10.1155/2012/451239
work_keys_str_mv AT abdghafurbinahmad nonlinearcontractionsin0completepartialmetricspaces
AT zaidmohammedfadail nonlinearcontractionsin0completepartialmetricspaces
AT vesnacojbasicrajic nonlinearcontractionsin0completepartialmetricspaces
AT stojanradenovic nonlinearcontractionsin0completepartialmetricspaces