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.
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