2022•arXiv (Cornell University)Open access

New fixed point theorems for $(ϕ, F)-$contraction on rectangular b-metric spaces

Mohamed Rossafi, Abdelkarim Kari

Abstract

The Banach contraction principle is the most celebrated fixed point theorem, it has been generalized in various directions. In this paper, inspired by the concept of $(ϕ, F)-$contraction in metric spaces, introduced by Wardowski. We present the notion of $(ϕ, F)-$contraction in $b-$rectangular metric spaces to study the existence and uniqueness of fixed point for the mappings in this spaces. Our results improve many existing results.

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Key concepts: Metric space, Contraction (grammar), Mathematics, Fixed-point theorem, Contraction principle, Uniqueness, Contraction mapping, Fixed point