On the Mazur--Ulam theorem in fuzzy n--normed strictly convex spaces

TL;DR

This paper extends the Mazur--Ulam theorem to fuzzy real n-normed strictly convex spaces, broadening its applicability in the context of fuzzy geometry and functional analysis.

Contribution

It introduces a generalization of the Mazur--Ulam theorem within fuzzy n-normed strictly convex spaces, a novel setting in the study of geometric functional analysis.

Findings

Generalization of Mazur--Ulam theorem achieved

Applicable to fuzzy real n-normed strictly convex spaces

Enhances understanding of isometries in fuzzy geometry

Abstract

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