Corrigendum to "On the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces"

TL;DR

This paper corrects a previous work on the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces, clarifying that the concept of strictly convex spaces in that context is void and does not exist.

Contribution

It provides a correction to prior research by demonstrating the non-existence of strictly convex spaces as previously defined.

Findings

Strictly convex spaces do not exist under the given definition.

The correction clarifies the scope of the Mazur-Ulam theorem in this setting.

Previous assumptions about the structure of these spaces are invalid.

Abstract

In this note we correct a paper by D. Kang ("On the Mazur-Ulam theorem in non-Archimedean fuzzy anti-2-normed spaces", Filomat, 2017). The research in that paper applies to what the author calls strictly convex spaces. Nevertheless, we prove that this notion is void: there is no single space that satisfies the definition.