Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces

Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces

We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our...

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Main Authors: Marwan Amin Kutbi, Akbar Azam, Jamshaid Ahmad, Cristina Di Bari
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/352927
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spelling doaj-f4657b8a37d54da29d27f066b6a433f12020-11-25T01:10:52ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/352927352927Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric SpacesMarwan Amin Kutbi0Akbar Azam1Jamshaid Ahmad2Cristina Di Bari3Department of Mathematics, King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad, PakistanUniversità Degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi 34,90123 Palermo, ItalyWe introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our investigations are well supported by nontrivial examples.http://dx.doi.org/10.1155/2013/352927
collection DOAJ
language English
format Article
sources DOAJ
author Marwan Amin Kutbi
Akbar Azam
Jamshaid Ahmad
Cristina Di Bari
spellingShingle Marwan Amin Kutbi
Akbar Azam
Jamshaid Ahmad
Cristina Di Bari
Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces
Journal of Applied Mathematics
author_facet Marwan Amin Kutbi
Akbar Azam
Jamshaid Ahmad
Cristina Di Bari
author_sort Marwan Amin Kutbi
title Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces
title_short Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces
title_full Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces
title_fullStr Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces
title_full_unstemmed Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces
title_sort some common coupled fixed point results for generalized contraction in complex-valued metric spaces
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our investigations are well supported by nontrivial examples.
url http://dx.doi.org/10.1155/2013/352927
work_keys_str_mv AT marwanaminkutbi somecommoncoupledfixedpointresultsforgeneralizedcontractionincomplexvaluedmetricspaces
AT akbarazam somecommoncoupledfixedpointresultsforgeneralizedcontractionincomplexvaluedmetricspaces
AT jamshaidahmad somecommoncoupledfixedpointresultsforgeneralizedcontractionincomplexvaluedmetricspaces
AT cristinadibari somecommoncoupledfixedpointresultsforgeneralizedcontractionincomplexvaluedmetricspaces
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