[EN] Fixed point theory in fuzzy metric spaces has grown to become an intensive field of research. The difficulty of demonstrating a fixed point theorem in such kind of spaces makes the authors to demand extra conditions ...
[EN] George and Veeramani characterized complete fuzzy metric spaces ¿ by means of nested sequences of closed sets of X which have fuzzy diameter zero. According to the concept of p-convergence due to D. Mihet, an appropriate ...
Ricarte Moreno, Luis Alberto; Romaguera Bonilla, Salvador(Elsevier, 2014-02)
We introduce a partial order (sic)(M) on the set BX of formal balls of a fuzzy metric space (X, M, Lambda) in the sense of Kramosil and Michalek, and discuss some of its properties. We also characterize when the poset (BX, ...
Romaguera Bonilla, Salvador(National Library of Serbia, 2020)
[EN] We obtain a fixed point theorem for complete fuzzy metric spaces, in the sense of Kramosiland Michalek, that extends the classical Kannan fixed point theorem. We also show that, in fact, ourtheorem ...
Gregori Gregori, Valentín; Miñana, Juan-José; Morillas, Samuel(University of Sistan and Baluchestan, 2014-08)
[EN] The sequential p-convergence in a fuzzy metric space, in the sense of George and Veeramani, was introduced by D. Mihet as a weaker concept than convergence. Here we introduce a stronger concept called s-convergence, ...
[EN] In this paper we develop a new technique for constructing fuzzy metric spaces, in the sense of George and Veeramani, from metric spaces and by means of the Lukasievicz t-norm. In particular such a technique is based ...
In this paper we give a characterization of the class of completable strong (non-Archimedean) fuzzy metric spaces, in the sense of George and Veeramani.
[EN] With the help of C-contractions having a fixed point, we obtain a characterization of complete fuzzy metric spaces, in the sense of Kramosil and Michalek, that extends the classical theorem of H. Hu (see "Am. Math. ...
[EN] 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 stratified strong fuzzy metric ...
[EN] In this paper we present an example of a fuzzy psi-contractive sequence in the sense of D. Mihet, which is not Cauchy in a fuzzy metric space in the sense of George and Veeramani. To overcome this drawback we introduce ...
Answering a recent question posed by Gregori et al. [On a class of completable fuzzy metric spaces, Fuzzy Sets and Systems 161 (2010), 2193-2205] we present two examples of non-strong fuzzy metrics (in the sense of George ...
Dinarvand, Mina(Universitat Politècnica de València, 2020-10-01)
[EN] In this paper, we introduce the notion of G-fuzzy H-quasi-contractions using directed graphs in the setting of fuzzy metric spaces endowed with a graph and we show that this new type of contraction generalizes a large ...
Miñana Prats, Juan José(Universitat Politècnica de València, 2015-05-21)
[EN] Fuzzy mathematics has constituted a wide field of research, since L. A. Zadeh introduced in 1965 the concept of fuzzy set. In particular, the problem of constructing a satisfactory theory of fuzzy metric spaces has ...
[EN] In this paper we provide a concept of fuzzy partial metric space
(X, P, ¿) as an extension to fuzzy setting in the sense of Kramosil
and Michalek, of the concept of partial metric due to Matthews. This
extension has ...
Abbas, Mujahid; Ali, Basit; Romaguera Bonilla, Salvador(UNIV NIS, FAC SCI MATH, PO BOX 224, VISEGRADSKA 33, NIS, 18000, SERBIA MONTENEG, 2015)
In this note we show a fixed point theorem for multivalued Caristi's type mappings on a large class of complete fuzzy metric spaces. In fact, this result allows us to characterize complete fuzzy metric spaces with continuous ...
Tirado Peláez, Pedro(University of Sistan and Baluchestan, 2012-11)
[EN] In [Fuzzy Sets and Systems 27 (1988) 385-389], M. Grabiec introduced a notion of completeness for fuzzy metric spaces (in the sense of Kramosil and Michalek) that successfully used to obtain a fuzzy version of Banach´s ...
In this paper we construct a non-completable fuzzy metric space in the sense of George and Veeramani which allows to answer an open question related to continuity on the real parameter t. In addition, the constructed space ...
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 ...