A fixed point result of Kannan-type for multi-valued mapping on fuzzy metric spaces

TL;DR

This paper establishes a new fixed point theorem of Kannan-type for multi-valued mappings within G-complete fuzzy metric spaces, expanding fixed point theory in fuzzy metric contexts.

Contribution

It introduces a Kannan-type fixed point theorem for multi-valued mappings on fuzzy metric spaces using Hausdorff fuzzy metrics, advancing fixed point theory in fuzzy environments.

Findings

Proves a fixed point theorem for multi-valued mappings in fuzzy metric spaces.

Utilizes Hausdorff fuzzy metric space framework.

Extends fixed point results to G-complete fuzzy metric spaces.

Abstract

We prove a Kannan-type fixed point theorem for multi-valued mappings on G-complete fuzzy metric spaces. The proof uses the Hausdorff fuzzy metric space which was introduced by Rodriguez-Lopez and Romaguera [19].