Gregori Gregori, Valentín; Miñana, Juan José(Elsevier, 2016-10-01)
In this paper we give a fixed point theorem in the context of fuzzy metric spaces in the sense of George and Veeramani. As a consequence of our result we obtain a fixed point theorem due to D. Mihet and generalize a fixed ...
[EN] Different types of fuzzy uniformities have been introduced in the literature standing out the notions due to Hutton, Hohle and Lowen. The main purpose of this paper is to study several methods to endow a fuzzy metric ...
Ricarte Moreno, Luis Alberto; Romaguera Bonilla, Salvador(University of Sistan and Baluchestan, 2013-12)
[EN] We obtain two fixed point theorems for a kind of phi-contractions in complete fuzzy metric spaces, which are applied to easily deduce intuitionistic versions that improve and simplify the recent results of X. Huang, ...
[EN] We present a procedure to construct a compatible metric from a given fuzzy metric space. We use this approach to obtain a characterization of a large class of complete fuzzy metric spaces by means of a fuzzy version ...
Saheli, Morteza; Mohsenialhosseini, Seyed Ali Mohammad; Saeidi Goraghani, Hadi(Universitat Politècnica de València, 2023-10-02)
[EN] In this paper, φ-contractions are defined and then, some new fixed point theorems are established for certain nonlinear mappings associated with one-dimensional (c)-comparison functions in fuzzy metric spaces. Next, ...
[EN] Usually, fuzzy metric spaces are endowed with crisp topologies or crisp uniformities. Nevertheless, some authors have shown how to construct in this context different kinds of fuzzy uniformities like a Hutton [0, ...
Abbas, Mujahid(Universitat Politècnica de València, 2015-03-30)
Mathematical models have extensively been used in problems related to
engineering, computer sciences, economics, social, natural and medical sciences
etc. It has become very common to use mathematical tools to solve,
study ...
Recently a new concept of fuzzy contraction in fuzzy metric spaces in the sense of George and Veeramani (Wardowski, 2013 [5]) has been introduced. Here we provide some comments to this paper.
Gregori Gregori, Valentín; Miñana, Juan José(Elsevier, 2015-05-15)
In this note we answer two recent questions posed by Morillas and Sapena [10] related to standard convergence in fuzzy metric spaces in the sense of George and Veeramani. The obtained results lead us to establish what ...
Gregori Gregori, Valentín; Miñana, Juan-José(National Library of Serbia, 2017)
[EN] In this paper we introduce and study the concept of strong convergence in fuzzy metric spaces (X, M,*) in the sense of George and Veeramani. This concept is related with the condition Lambda M-t > 0(x, y, t) > 0, which ...
Sun, Taixiang; Han, Caihong; Su, Guangwang; Qin, Bin; Li, Lue(Universitat Politècnica de València, 2021-10-01)
[EN] In this paper, we introduce the notion of ε-contractive maps in fuzzy metric space (X, M, ∗) and study the periodicities of ε-contractive maps. We show that if (X, M, ∗) is compact and f : X −→ X is ε-contractive, ...
[EN] We introduce and study the notions of lower Wijsman topology, upper Wijsman topology and Wijsman topology of a fuzzy metric space in the sense of Kramosil and Michalek. In particular, quasi-uniformizability, ...
[EN] We propose a notion of w-distance for fuzzy metric spaces, in the sense of Kramosil and Michalek, which allows us to obtain a characterization of complete fuzzy metric spaces via a suitable fixed point theorem that ...