Double Controlled Partial Metric Type Spaces and Convergence Results

In this paper, we firstly propose the notion of double controlled partial metric type spaces, which is a generalization of controlled metric type spaces, partial metric spaces, and double controlled metric type spaces. Secondly, our aim is to study the existence of fixed points for Kannan type contr...

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Main Authors: Haroon Ahmad, Mudasir Younis, Mehmet Emir Köksal
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/7008737
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author Haroon Ahmad
Mudasir Younis
Mehmet Emir Köksal
author_facet Haroon Ahmad
Mudasir Younis
Mehmet Emir Köksal
author_sort Haroon Ahmad
collection DOAJ
description In this paper, we firstly propose the notion of double controlled partial metric type spaces, which is a generalization of controlled metric type spaces, partial metric spaces, and double controlled metric type spaces. Secondly, our aim is to study the existence of fixed points for Kannan type contractions in the context of double controlled partial metric type spaces. The proposed results enrich, theorize, and sharpen a multitude of pioneer results in the context of metric fixed point theory. Additionally, we provide numerical examples to illustrate the essence of our obtained theoretical results.
format Article
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institution Kabale University
issn 2314-4785
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-f3a0cffd713440539b05864deaecebc22025-02-03T01:30:39ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/7008737Double Controlled Partial Metric Type Spaces and Convergence ResultsHaroon Ahmad0Mudasir Younis1Mehmet Emir Köksal2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, we firstly propose the notion of double controlled partial metric type spaces, which is a generalization of controlled metric type spaces, partial metric spaces, and double controlled metric type spaces. Secondly, our aim is to study the existence of fixed points for Kannan type contractions in the context of double controlled partial metric type spaces. The proposed results enrich, theorize, and sharpen a multitude of pioneer results in the context of metric fixed point theory. Additionally, we provide numerical examples to illustrate the essence of our obtained theoretical results.http://dx.doi.org/10.1155/2021/7008737
spellingShingle Haroon Ahmad
Mudasir Younis
Mehmet Emir Köksal
Double Controlled Partial Metric Type Spaces and Convergence Results
Journal of Mathematics
title Double Controlled Partial Metric Type Spaces and Convergence Results
title_full Double Controlled Partial Metric Type Spaces and Convergence Results
title_fullStr Double Controlled Partial Metric Type Spaces and Convergence Results
title_full_unstemmed Double Controlled Partial Metric Type Spaces and Convergence Results
title_short Double Controlled Partial Metric Type Spaces and Convergence Results
title_sort double controlled partial metric type spaces and convergence results
url http://dx.doi.org/10.1155/2021/7008737
work_keys_str_mv AT haroonahmad doublecontrolledpartialmetrictypespacesandconvergenceresults
AT mudasiryounis doublecontrolledpartialmetrictypespacesandconvergenceresults
AT mehmetemirkoksal doublecontrolledpartialmetrictypespacesandconvergenceresults