On Weakly (𝐶,𝜓,𝜙)-Contractive Mappings in Ordered Partial Metric Spaces

On Weakly (𝐶,𝜓,𝜙)-Contractive Mappings in Ordered Partial Metric Spaces

We introduce the notion of weakly (𝐶,𝜓,𝜙)-contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of inte...

Full description

Bibliographic Details
Main Authors: Erdal Karapınar, Wasfi Shatanawi
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/495892
id doaj-3b78f48da04f4153a77614afb3c417b9
record_format Article
spelling doaj-3b78f48da04f4153a77614afb3c417b92020-11-25T00:13:19ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/495892495892On Weakly (𝐶,𝜓,𝜙)-Contractive Mappings in Ordered Partial Metric SpacesErdal Karapınar0Wasfi Shatanawi1Department of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics, Hashemite University, Zarqa, JordanWe introduce the notion of weakly (𝐶,𝜓,𝜙)-contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of integral type as an application of our main theorem. Also, we give an example and an application of integral equation to support the useability of our results.http://dx.doi.org/10.1155/2012/495892
collection DOAJ
language English
format Article
sources DOAJ
author Erdal Karapınar
Wasfi Shatanawi
spellingShingle Erdal Karapınar
Wasfi Shatanawi
On Weakly (𝐶,𝜓,𝜙)-Contractive Mappings in Ordered Partial Metric Spaces
Abstract and Applied Analysis
author_facet Erdal Karapınar
Wasfi Shatanawi
author_sort Erdal Karapınar
title On Weakly (𝐶,𝜓,𝜙)-Contractive Mappings in Ordered Partial Metric Spaces
title_short On Weakly (𝐶,𝜓,𝜙)-Contractive Mappings in Ordered Partial Metric Spaces
title_full On Weakly (𝐶,𝜓,𝜙)-Contractive Mappings in Ordered Partial Metric Spaces
title_fullStr On Weakly (𝐶,𝜓,𝜙)-Contractive Mappings in Ordered Partial Metric Spaces
title_full_unstemmed On Weakly (𝐶,𝜓,𝜙)-Contractive Mappings in Ordered Partial Metric Spaces
title_sort on weakly (𝐶,𝜓,𝜙)-contractive mappings in ordered partial metric spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We introduce the notion of weakly (𝐶,𝜓,𝜙)-contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of integral type as an application of our main theorem. Also, we give an example and an application of integral equation to support the useability of our results.
url http://dx.doi.org/10.1155/2012/495892
work_keys_str_mv AT erdalkarapınar onweaklycψφcontractivemappingsinorderedpartialmetricspaces
AT wasfishatanawi onweaklycψφcontractivemappingsinorderedpartialmetricspaces
_version_ 1725395077493161984

Similar Items