[PDF][PDF] On Some Properties in Fuzzy Metric Space

RI Sabri, M Rasheed, O Alabdali, S SHIHAB… - Journal of Al-Qadisiyah …, 2021 - iasj.net
Fuzzy metric spaces theory has an essential significance in mathematics, statistics,
computer science, etc. In this paper, several basic properties of the fuzzy metric space (FM …

Contractive sequences in fuzzy metric spaces

V Gregori, JJ Miñana, D Miravet - Fuzzy Sets and Systems, 2020 - Elsevier
In this paper we present an example of a fuzzy ψ-contractive sequence in the sense of D.
Mihet, which is not Cauchy in a fuzzy metric space in the sense of George and Veeramani …

[HTML][HTML] Two new methods to construct fuzzy metrics from metrics

O Grigorenko, JJ Miñana, O Valero - Fuzzy Sets and Systems, 2023 - Elsevier
In the last years, the interest in the notion of fuzzy metric has been growing in such a way
that many works have focused their efforts on the study of their topological properties and …

[PDF][PDF] Statistical convergence on L− fuzzy normed space

R Yapalı, H Çoşkun, U Gürdal - Filomat, 2023 - doiserbia.nb.rs
In this paper, we study the concept of statistical convergence on L− fuzzy normed spaces.
Then we give a useful characterization for statistically convergent sequences. Furthermore …

[HTML][HTML] Completable fuzzy metric spaces

V Gregori, JJ Miñana, A Sapena - Topology and its Applications, 2017 - Elsevier
In the context of fuzzy metrics in the sense of George and Veeramani, we introduce the
concept of stratified fuzzy metric. Many well-known fuzzy metrics are stratified. We prove that …

Cesaro summability of sequences in intuitionistic fuzzy normed spaces and related Tauberian theorems

Ö Talo, E Yavuz - Soft Computing, 2021 - Springer
We define the concept of Cesàro summability method in intuitionistic fuzzy normed spaces
and prove a related Tauberian theorem. Also, we define slowly oscillating sequences in …

Fuzzy metrics in terms of fuzzy relations

O Grigorenko, A Šostak - Mathematics, 2023 - mdpi.com
In this paper, we study the concept of fuzzy metrics from the perspective of fuzzy relations.
Specifically, we analyze the commonly used definitions of fuzzy metrics. We begin by noting …

On Principal Fuzzy Metric Spaces

V Gregori, JJ Miñana, S Morillas, A Sapena - Mathematics, 2022 - mdpi.com
In this paper, we deal with the notion of fuzzy metric space (X, M,∗), or simply X, due to
George and Veeramani. It is well known that such fuzzy metric spaces, in general, are not …

On statistical convergence in fuzzy metric spaces

C Li, Y Zhang, J Zhang - Journal of Intelligent & Fuzzy Systems, 2020 - content.iospress.com
The idea of statistical convergence, which was first introduced by Fast and Steinhaus
independently in 1951, has become one of the most active area of research in the field of …

Extended fuzzy metrics and fixed point theorems

V Gregori, JJ Miñana, D Miravet - Mathematics, 2019 - mdpi.com
In this paper, we study those fuzzy metrics M on X, in the George and Veeramani's sense,
such that⋀ t> 0 M (x, y, t)> 0. The continuous extension M 0 of M to X 2× 0,+∞ is called …