Double Controlled Quasi-Metric Type Spaces and Some Results
Abdeljawad et al. (2018) introduced a new concept, named double controlled metric type spaces, as a generalization of the notion of extended b-metric spaces. In this paper, we extend their concept and introduce the concept of double controlled quasi-metric type spaces with two incomparable functions...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/3460938 |
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| _version_ | 1832566332156018688 |
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| author | Abdullah Shoaib Sabeena Kazi Asifa Tassaddiq Shaif S. Alshoraify Tahair Rasham |
| author_facet | Abdullah Shoaib Sabeena Kazi Asifa Tassaddiq Shaif S. Alshoraify Tahair Rasham |
| author_sort | Abdullah Shoaib |
| collection | DOAJ |
| description | Abdeljawad et al. (2018) introduced a new concept, named double controlled metric type spaces, as a generalization of the notion of extended b-metric spaces. In this paper, we extend their concept and introduce the concept of double controlled quasi-metric type spaces with two incomparable functions and prove some unique fixed point results involving new types of contraction conditions. Also, we introduce the concept of α−μ−k double controlled contraction and prove some related fixed point results. We give several examples to show that our results are the proper generalization of the existing works. |
| format | Article |
| id | doaj-art-38315b197f9a4f5cbbdb3d5ca6b4d715 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-38315b197f9a4f5cbbdb3d5ca6b4d7152025-02-03T01:04:28ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/34609383460938Double Controlled Quasi-Metric Type Spaces and Some ResultsAbdullah Shoaib0Sabeena Kazi1Asifa Tassaddiq2Shaif S. Alshoraify3Tahair Rasham4Department of Mathematics and Statistics, Riphah International University, Islamabad, PakistanDepartment of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University, Al-Majmaah 11952, Saudi ArabiaDepartment of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University, Al-Majmaah 11952, Saudi ArabiaDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanAbdeljawad et al. (2018) introduced a new concept, named double controlled metric type spaces, as a generalization of the notion of extended b-metric spaces. In this paper, we extend their concept and introduce the concept of double controlled quasi-metric type spaces with two incomparable functions and prove some unique fixed point results involving new types of contraction conditions. Also, we introduce the concept of α−μ−k double controlled contraction and prove some related fixed point results. We give several examples to show that our results are the proper generalization of the existing works.http://dx.doi.org/10.1155/2020/3460938 |
| spellingShingle | Abdullah Shoaib Sabeena Kazi Asifa Tassaddiq Shaif S. Alshoraify Tahair Rasham Double Controlled Quasi-Metric Type Spaces and Some Results Complexity |
| title | Double Controlled Quasi-Metric Type Spaces and Some Results |
| title_full | Double Controlled Quasi-Metric Type Spaces and Some Results |
| title_fullStr | Double Controlled Quasi-Metric Type Spaces and Some Results |
| title_full_unstemmed | Double Controlled Quasi-Metric Type Spaces and Some Results |
| title_short | Double Controlled Quasi-Metric Type Spaces and Some Results |
| title_sort | double controlled quasi metric type spaces and some results |
| url | http://dx.doi.org/10.1155/2020/3460938 |
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