Answers to some open questions on fuzzy psi-contractions in fuzzy metric spaces
In this paper, we answer two open questions posed by Mihet [Fuzzy psi-contractive mappings in non-Archimedean fuzzy metric spaces, Fuzzy Sets Syst. 159 (2008) 739-744] and Gregori et al. [Some questions in fuzzy metric spaces, Fuzzy Sets Syst. 204 (2012) 71-85]. We give a positive answer for the question of Mihet by means of Theorem 1 and a negative answer for the question of Gregori etal. by means of Example 1. (C) 2012 Elsevier B.V. All rights reserved.
fuzzy metric space non-archimedean fuzzy metric space fuzzy contractive mapping