Introduction to Intuitionistic Fuzzy b-Metric Spaces and Fixed Point Results

Akbar Azam, Shazia Kanwal

Abstract

The main purpose of the present paper is to introduce and study the notion of intuitionistic fuzzy b-metric spaces (shortly, IFbMS). In this way, we generalize both the notion of intuitionistic fuzzy metric spaces and fuzzy b-metric spaces. Further, the formulation and proof of intuitionistic fuzzy b-metric versions of some conventional theorems regarding fixed points via intuitionistic fuzzy sets are presented. In order to show the strength of these results, some motivating examples are established as well.