On the Mazur--Ulam theorem in fuzzy normed spaces

TL;DR

This paper extends the Mazur--Ulam theorem to fuzzy strictly convex real normed spaces, broadening its applicability in fuzzy analysis.

Contribution

It proves the Mazur--Ulam theorem within the context of fuzzy strictly convex real normed spaces, a novel generalization.

Findings

Mazur--Ulam theorem holds in fuzzy strictly convex real normed spaces

Extension of classical isometry results to fuzzy normed spaces

Potential applications in fuzzy analysis and geometry

Abstract

In this paper, we establish the Mazur--Ulam theorem in the fuzzy strictly convex real normed spaces.