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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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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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 |
id | doaj-art-f3a0cffd713440539b05864deaecebc2 |
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 |