Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results

Abstract

The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces. We discuss convergence sequences, contractive mapping and some fixed-point theorems in intuitionistic fuzzy metric-like space. We also give explanations, examples and counterexamples to validate the superiority of these results. Our results provide a substantial extension of several important results from fuzzy metric-like spaces.

Keywords

• intuitionistic fuzzy set
• metric-like spaces
• intuitionistic fuzzy metric-like spaces
• fixed-point theory