[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 ...
[EN] We show that the poset of formal balls of the Sorgenfrey quasi-metric space is an omega-continuous domain, and deduce that it is also a computational model, in the sense of R.C. Flagg and R. Kopperman, for the Sorgenfrey ...
[EN] We show that some important fixed point theorems on complete metric spaces as Browder’s fixed point
theorem and Matkowski’s fixed point theorem can be easily generalized to the framework of bicomplete
quasi-metric ...
Recently, Gregori et al. have discussed (Fuzzy Sets Syst 2011;161:2193 2205) the so-called strong fuzzy metrics when looking for a class of completable fuzzy metric spaces in the sense of George and Veeramani and state the ...
[EN] In an outstanding article published in 2008, Suzuki obtained a nice generalization of the Banach contraction principle, from which a characterization of metric completeness was derived. Although Suzuki's theorem has ...
The Topology and its Applications Research Group from the Instituto de Matemática Pura y Aplicada (IUMPA), Universitat Politècnica de València, organizes the International Summer Workshop in Applied Topology - ISWAT 2014, ...
The Topology and its Applications Research Group from the Instituto Universitario de Matematica Pura y Aplicada (IUMPA), Universitat Politecnica de Valencia, organizes the Workshop on Applied Topological Structures - WATS ...
[EN] We discuss several properties of Q-functions in the sense of Al-Homidan et al.. In particular, we
prove that the partial metric induced by any T0
weighted quasipseudometric space is a Q-function
and show that both ...
[EN] In this paper, we establish a proof for Bianchini and Grandolfi Theorem in the context of quasi-metric spaces via modified omega-distances. As consequences of our main results, we derive several existing fixed point ...
Extending the well-known result that every fuzzy metric space, in the sense of Kramosil and Michalek, has a completion which is unique up to isometry, we show that every KM-fuzzy quasi-metric space has a bicompletion which ...
[EN] We introduce and study a probabilistic quasi-metric on the set of complexity functions, which provides an efficient framework to measure the distance from a complexity function f to another one g in the case that f ...
Tirado Peláez, Pedro(Universitat Politècnica de València, 2011-11-10)
We introduce and study a probabilistic quasi-metric on the set of complexity functions, which provides an efficient framework to measure the distance from a complexity function "f" to another one "g" in the case that "f" ...
[EN] We obtain quasi-metric versions of the famous Meir¿Keeler fixed point theorem from which
we deduce quasi-metric generalizations of Boyd¿Wong¿s fixed point theorem. In fact, one of these
generalizations provides a ...
[EN] We obtain versions of the Boyd and Wong fixed point theorem and of the
Matkowski fixed point theorem for multivalued maps and w-distances on complete
quasi-metric spaces. Our results generalize, in several directions, ...