A New Extension of the Rectangular b‐Metric Spaces

Nabil Mlaiki, Mohamed Hajji and Thabet Abdeljawad

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: In this paper, we introduce a generalization of rectangular b‐metric spaces, by changing the rectangular inequality as follows: Dζ(a, b) ≤ ζ(a, b, u, v)[Dζ(a, u) + Dζ(u, v) + Dζ(v, 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.

Date: 2020
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https://doi.org/10.1155/2020/8319584

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:8319584

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