TY - JOUR
T1 - A New Extension of the Rectangular b -Metric Spaces
AU - Mlaiki, Nabil
AU - Hajji, Mohamed
AU - Abdeljawad, Thabet
N1 - Funding Information:
The first and third authors would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM), group number RG-DES-2017-01-17.
Publisher Copyright:
© 2020 Nabil Mlaiki et al.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
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U2 - 10.1155/2020/8319584
DO - 10.1155/2020/8319584
M3 - Article
AN - SCOPUS:85087043244
VL - 2020
JO - Advances in Mathematical Physics
JF - Advances in Mathematical Physics
SN - 1687-9120
M1 - 8319584
ER -