A New Extension of the Rectangular b-Metric Spaces
In this paper, we introduce a generalization of rectangular b-metric spaces, by changing the rectangular inequality as follows: Dζa,b≤ζa,b,u,vDζa,u+Dζu,v+Dζv,b, for all distinct a,b,u,v∈X. We prove some fixed point theorems, and we use our results to present a nice application in the last section of...
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Hindawi Limited
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/8319584 |
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doaj-dcf4d17cef9246199d476498c00f42fb2021-07-02T12:02:57ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/83195848319584A New Extension of the Rectangular b-Metric SpacesNabil Mlaiki0Mohamed Hajji1Thabet Abdeljawad2Department of Mathematics and General Sciences, Prince Sultan University Riyadh, 11586, Saudi ArabiaInstitut Superieur des Sciences Appliques et de Technologie de Kasserine, Kairouan University, BP 471, Kasserine 1200, TunisiaDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi ArabiaIn this paper, we introduce a generalization of rectangular b-metric spaces, by changing the rectangular inequality as follows: Dζa,b≤ζa,b,u,vDζa,u+Dζu,v+Dζv,b, for all distinct a,b,u,v∈X. We prove some fixed point theorems, and we use our results to present a nice application in the last section of this paper.http://dx.doi.org/10.1155/2020/8319584 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nabil Mlaiki Mohamed Hajji Thabet Abdeljawad |
| spellingShingle |
Nabil Mlaiki Mohamed Hajji Thabet Abdeljawad A New Extension of the Rectangular b-Metric Spaces Advances in Mathematical Physics |
| author_facet |
Nabil Mlaiki Mohamed Hajji Thabet Abdeljawad |
| author_sort |
Nabil Mlaiki |
| title |
A New Extension of the Rectangular b-Metric Spaces |
| title_short |
A New Extension of the Rectangular b-Metric Spaces |
| title_full |
A New Extension of the Rectangular b-Metric Spaces |
| title_fullStr |
A New Extension of the Rectangular b-Metric Spaces |
| title_full_unstemmed |
A New Extension of the Rectangular b-Metric Spaces |
| title_sort |
new extension of the rectangular b-metric spaces |
| publisher |
Hindawi Limited |
| series |
Advances in Mathematical Physics |
| issn |
1687-9120 1687-9139 |
| publishDate |
2020-01-01 |
| description |
In this paper, we introduce a generalization of rectangular b-metric spaces, by changing the rectangular inequality as follows: Dζa,b≤ζa,b,u,vDζa,u+Dζu,v+Dζv,b, for all distinct a,b,u,v∈X. We prove some fixed point theorems, and we use our results to present a nice application in the last section of this paper. |
| url |
http://dx.doi.org/10.1155/2020/8319584 |
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