[EN] In [25], Katsaras introduced a method for constructing a Hutton [0, 1]-quasi-uniformity from a crisp uniformity. In this
paper we present other different methods for making this based mainly in the concept of a fuzzy ...
We study domain theoretic properties of complexity spaces. Although the so-called complexity space is not a domain for the usual pointwise order, we show that, however, each pointed complexity space is an ¿-continuous ...
PEREZ, M.; ROMAGUERA, S.(FERN UNIVERSITAT HAGEN, 1996)
[EN] A quasi-uniform space (X,U) is called strongly complete if every stable filter on (X, U-1) has a cluster point and it is called hypercomplete if every stable filter on (X,U) has a cluster point. We show, among other ...
[EN] We characterize the completeness of fuzzy quasi-metric spaces by means of a fixed point theorem of Kannan-type.
Thus, we extend the classical characterization of metric completeness due to Subrahmanyam as well as ...
Tirado Peláez, Pedro(Universitat Politècnica de València, 2008-09-04)
En los últimos años se ha desarrollado una teoría matemática con propiedades robustas con el fin de fundamentar la Ciencia de la Computación. En este sentido, un avance significativo lo constituye el establecimiento de ...
In this paper we prove the existence of a fixed point for multivalued maps satisfying a contraction condition in terms of Q-functions, and via Bianchini-Grandolfi gauge functions, for complete T-0-quasipseudometric spaces. ...
[EN] We introduce and discuss a notion of $\alpha -\psi $-contractive self map for fuzzy metric spaces in the sense of Kramosil and Michalek, which allows us to prove a fixed point theorem that constitutes a fuzzy counterpart ...
We characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the Hausdorff distances of the alpha-cuts of the fuzzy sets. We do it by dividing this metric into its lower and upper ...
Sapena Piera, Almanzor(Universitat Politècnica de València, 2009-06-16)
Se prosigue con el estudio de los espacios métricos fuzzy introducidos por George y Veeramani. Se aportan nuevas propiedades y se tratan cuestiones como la completación, la continuidad uniforme y teoremas de punto fijo.
Se ...
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 ...
Wardowski (Fixed Point Theory Appl. 2012: 94, 2012, doi:10.1186/1687-1812-2012-94) introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn generalizes ...
A sufficient condition for the existence and uniqueness of fixed point for a new variant of cyclic contractive mapping, named as weakly cyclic contractive mappings, involving a generalized altering distance function in ...
Rus (Approx. Convexity 3:171–178, 2005) introduced the concept of cyclic contraction
mapping. P˘acurar and Rus (Nonlinear Anal. 72:1181–1187, 2010) proved some fixed
point results for cyclic φ-contraction mappings on a ...
We obtain fixed point theorems for cyclic self-maps on complete metric spaces
involving Meir-Keeler and weaker Meir-Keeler functions, respectively. In this way, we
extend several well-known fixed point theorems and, in ...
We obtain two fixed point theorems for complete partial metric space that, by one hand, clarify and improve some results that have been recently published in Topology and its Applications, and, on the other hand, generalize ...
[EN] We obtain several characterizations of complete G-metric spaces by means of fixed point theorems. Our results provide extensions to the G-metric framework of several well-know characterizations of metric completeness, ...
We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which
we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point ...
[EN] In this note we introduce a class of fuzzy contractions of Suzuki type from which a fixed point theorem is proved. As a product of our approach, a characterization of a large class of complete fuzzy metric spaces is obtained.