Answers to some open questions on fuzzy ψ-contractions in fuzzy metric spaces

Authors:
Shenghua Wang
Affiliations:
Department of Mathematics and Physics, Research Institution of Information Process and Control, North China Electric Power University, Baoding 071003, China
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 8
Cited 0

Fixed points in fuzzy metric spaces

Fuzzy Sets and Systems
On some results in fuzzy metric spaces

Fuzzy Sets and Systems
On fixed-point theorems in fuzzy metric spaces

Fuzzy Sets and Systems
Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces

Fuzzy Sets and Systems
Erratum: Erratum to “Fuzzy ψ-contractive mappings in non-Archimedean fuzzy metric spaces revisited [Fuzzy Sets and Systems 159 (2008) 739--744]”

Fuzzy Sets and Systems
On a class of completable fuzzy metric spaces

Fuzzy Sets and Systems
Examples of non-strong fuzzy metrics

Fuzzy Sets and Systems
Some questions in fuzzy metric spaces

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

In this paper, we answer two open questions posed by Mihet [Fuzzy @j-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 et al. by means of Example 1.