Abstract

In this article, we study the notions of 2-isometries in fuzzy anti-2- normed spaces and prove a Mazur-Ulam type theorem in the 2-strictly convex fuzzy anti-2-normed spaces.

Highlights

  • The theory of fuzzy sets was introduced by L

  • Jebril and Samanta introduced fuzzy anti-norm on a linear space depending on the idea of fuzzy anti-norm was introduced by Bag and Samanta [1] and investigated their important properties

  • A map f : X → Y is called an isometry if dY (f (x), f (y)) = dX (x, y) for every x, y ∈ X

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Summary

Introduction

The theory of fuzzy sets was introduced by L. The theorem is not true for normed complex vector spaces. Baker [2] proved that every isometry from a normed real space into a strictly convex normed real space is linear up to translation. Chu et al [4] have defined the notion of a 2-isometry which is suitable to represent the concept of an area preserving mapping in linear 2normed spaces.

Results
Conclusion

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