A New Extension of the Rectangular b-Metric Spaces

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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Veröffentlicht in:Advances in Mathematical Physics 2020, Vol.2020 (2020), p.1-7
Hauptverfasser: Mlaiki, Nabil, Abdeljawad (Maraaba), T., Hajji, Mohamed
Format: Artikel
Sprache:eng
Schlagworte:
Fixed points (mathematics)
Metric space
Numbers
Random variables
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Zusammenfassung: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2020/8319584