Some fixed-point results on parametric N-b -metric spaces

Abstract

Our aim is to introduce the notion of a parametric N-b-metric and study some basic properties of parametric N-b-metric spaces. We give some fixed-point results on a complete parametric N-b-metric space. Some illustrative examples are given to show that our results are valid as the generalizations of some known fixed-point results. As an application of this new theory, we prove a fixed-circle theorem on a parametric N-b-metric space.