Some Fixed and Periodic Points in Abstract Metric Spaces

We generalize in this paper some results on common fixed points of two, respectively four, contractive-type mappings in abstract metric spaces by removing condition of normality of the cone in their formulations. Further, some results about periodic points of self-maps are extended to the setting of...

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Main Authors: Abd Ghafur Bin Ahmad, Zaid Mohammed Fadail, Mujahid Abbas, Zoran Kadelburg, Stojan Radenović
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/908423
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author Abd Ghafur Bin Ahmad
Zaid Mohammed Fadail
Mujahid Abbas
Zoran Kadelburg
Stojan Radenović
author_facet Abd Ghafur Bin Ahmad
Zaid Mohammed Fadail
Mujahid Abbas
Zoran Kadelburg
Stojan Radenović
author_sort Abd Ghafur Bin Ahmad
collection DOAJ
description We generalize in this paper some results on common fixed points of two, respectively four, contractive-type mappings in abstract metric spaces by removing condition of normality of the cone in their formulations. Further, some results about periodic points of self-maps are extended to the setting of abstract metric spaces.
format Article
id doaj-art-ce479ebc13bb41f694649583cddfe378
institution DOAJ
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-ce479ebc13bb41f694649583cddfe3782025-08-20T03:19:41ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/908423908423Some Fixed and Periodic Points in Abstract Metric SpacesAbd Ghafur Bin Ahmad0Zaid Mohammed Fadail1Mujahid Abbas2Zoran Kadelburg3Stojan Radenović4School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, MalaysiaDepartment of Mathematics, Lahore University of Management Sciences, Lahore 54792, PakistanFaculty of Mathematics, University of Belgrade, Studentski Trg 16, 11000 Beograd, SerbiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, SerbiaWe generalize in this paper some results on common fixed points of two, respectively four, contractive-type mappings in abstract metric spaces by removing condition of normality of the cone in their formulations. Further, some results about periodic points of self-maps are extended to the setting of abstract metric spaces.http://dx.doi.org/10.1155/2012/908423
spellingShingle Abd Ghafur Bin Ahmad
Zaid Mohammed Fadail
Mujahid Abbas
Zoran Kadelburg
Stojan Radenović
Some Fixed and Periodic Points in Abstract Metric Spaces
Abstract and Applied Analysis
title Some Fixed and Periodic Points in Abstract Metric Spaces
title_full Some Fixed and Periodic Points in Abstract Metric Spaces
title_fullStr Some Fixed and Periodic Points in Abstract Metric Spaces
title_full_unstemmed Some Fixed and Periodic Points in Abstract Metric Spaces
title_short Some Fixed and Periodic Points in Abstract Metric Spaces
title_sort some fixed and periodic points in abstract metric spaces
url http://dx.doi.org/10.1155/2012/908423
work_keys_str_mv AT abdghafurbinahmad somefixedandperiodicpointsinabstractmetricspaces
AT zaidmohammedfadail somefixedandperiodicpointsinabstractmetricspaces
AT mujahidabbas somefixedandperiodicpointsinabstractmetricspaces
AT zorankadelburg somefixedandperiodicpointsinabstractmetricspaces
AT stojanradenovic somefixedandperiodicpointsinabstractmetricspaces