New Fixed Point Theorems for θ‐ϕ‐Contraction on Rectangular b‐Metric Spaces

Abdelkarim Kari, Mohamed Rossafi, El Miloudi Marhrani and Mohamed Aamri

Abstract and Applied Analysis, 2020, vol. 2020, issue 1

Abstract: The Banach contraction principle is the most celebrated fixed point theorem and has been generalized in various directions. In this paper, inspired by the concept of θ‐ϕ‐contraction in metric spaces, introduced by Zheng et al., we present the notion of θ‐ϕ‐contraction in b‐rectangular metric spaces and study the existence and uniqueness of a fixed point for the mappings in this space. Our results improve many existing results.

Date: 2020
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https://doi.org/10.1155/2020/8833214

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:8833214

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