Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces

The existence and uniqueness of the common coupled fixed point in cone metric spaces have been studied by considering different types of contractive conditions. A new concept of the c-distance in cone metric space has been recently introduced in 2011. Then, coupled fixed point results for contractio...

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Main Authors: Zaid Mohammed Fadail, Abd Ghafur Bin Ahmad
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/901792
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spelling doaj-c6a335d36c9d44beae946e707a5117b22020-11-24T23:54:12ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/901792901792Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric SpacesZaid Mohammed Fadail0Abd Ghafur Bin Ahmad1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, MalaysiaThe existence and uniqueness of the common coupled fixed point in cone metric spaces have been studied by considering different types of contractive conditions. A new concept of the c-distance in cone metric space has been recently introduced in 2011. Then, coupled fixed point results for contraction-type mappings in ordered cone metric spaces and cone metric spaces have been considered. In this paper, some common coupled fixed point results on c-distance in cone metric spaces are obtained. Some supporting examples are given.http://dx.doi.org/10.1155/2012/901792
collection DOAJ
language English
format Article
sources DOAJ
author Zaid Mohammed Fadail
Abd Ghafur Bin Ahmad
spellingShingle Zaid Mohammed Fadail
Abd Ghafur Bin Ahmad
Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces
Abstract and Applied Analysis
author_facet Zaid Mohammed Fadail
Abd Ghafur Bin Ahmad
author_sort Zaid Mohammed Fadail
title Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces
title_short Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces
title_full Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces
title_fullStr Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces
title_full_unstemmed Common Coupled Fixed Point Theorems of Single-Valued Mapping for c-Distance in Cone Metric Spaces
title_sort common coupled fixed point theorems of single-valued mapping for c-distance in cone metric spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description The existence and uniqueness of the common coupled fixed point in cone metric spaces have been studied by considering different types of contractive conditions. A new concept of the c-distance in cone metric space has been recently introduced in 2011. Then, coupled fixed point results for contraction-type mappings in ordered cone metric spaces and cone metric spaces have been considered. In this paper, some common coupled fixed point results on c-distance in cone metric spaces are obtained. Some supporting examples are given.
url http://dx.doi.org/10.1155/2012/901792
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AT abdghafurbinahmad commoncoupledfixedpointtheoremsofsinglevaluedmappingforcdistanceinconemetricspaces
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