Abstract

AbstractWe answer into affirmative an open question raised by A. Razani in 2005. An essential role in our proofs is played by the separation axiom in the definition of a fuzzy metric space in the sense of George and Veeramani.

Highlights

  • We answer into affirmative an open question raised by A

  • An essential role in our proofs is played by the separation axiom in the definition of a fuzzy metric space in the sense of George and Veeramani

  • Let (X,M,∗) be a fuzzy metric space, where the continuous t-norm is defined as a ∗ b = min{a,b}

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Summary

Introduction

We answer into affirmative an open question raised by A. A mapping f : X → X is said to be continuous if f (xn) → f (x) whenever (xn) is a sequence in X convergent to x. Let (X,M,∗) be a fuzzy metric space, where the continuous t-norm is defined as a ∗ b = min{a,b}.

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