Abstract
In this paper, by introducing the concept of a fuzzy rectangular-b-metric space, the notion of a fuzzy metric space and a fuzzy b-metric space are generalized. The well known metric fixed point theorems are established in the setting of fuzzy rectangular b-metric spaces and illustrated by examples. To show the significance of our result an application is presented to establish the existence of a solution of integral equation. Our results generalize many existing theorems in the literature.