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

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.