[EN] The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set. We then show that soft metric ...
Alegre Gil, Maria Carmen; Romaguera Bonilla, Salvador(Elsevier, 2016-01-01)
[EN] We prove that a family of continuous linear operators from a fuzzy quasi-normed space of the half second category to a fuzzy quasi-normed space is uniformly fuzzy bounded if and only if it is pointwise fuzzy bounded. ...
[EN] We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Eke land's Variational Principle. This result solves a question raised by S. Cobzas (2011) ...
[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 ...
[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, ...
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, ...
[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 ...
The purpose of this paper is to study which quasi-metrizable spaces are monotonically normal. In particular, we provide a sufficient condition for a quasi-metrizable space to be monotonically normal. This enables us to ...
[EN] The aim of this paper is to discuss the recent developement regarding fixed point theory in soft metric type spaces such as soft G-metric spaces, soft cone metric spaces, dislocated soft metric spaces and soft b-metric ...
Sánchez Álvarez, José Manuel(Universitat Politècnica de València, 2009-06-25)
En los últimos años se ha desarrollado una teoría matemática que permite generalizar algunas teorías matemáticas clásicas: hiperespacios, espacios de funciones, topología algebraica, etc. Este hecho viene motivado, en ...
[EN] In this paper, the concept of a soft contraction mapping on a soft metric space is introduced and the study of fixed points of such mappings is initiated.
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 ...
This paper deals with fuzzy uniform structures previously introduced by the authors [Fuzzy uniform structures and continuous t-norms, Fuzzy Sets Syst. 161 (2009) 1011-1021]. Our approach involves a covariant functor psi ...
A *-compactification of a T0 quasi-uniform space (X,U) is a compact T0 quasi-uniform space (Y,V) that has a T(V∨V−1)-dense subspace quasi-isomorphic to (X,U). In this paper we study when the hyperspace with the Hausdorff–Bourbaki ...
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" ...
Romaguera Bonilla, Salvador; Schellekens, M.; Valero Sierra, Óscar(Taylor & Francis Ltd, 2011)
The study of the dual complexity space, introduced by S. Romaguera and M. P. Schellekens [Quasi-metric properties of complexity spaces, Topol. Appl. 98 (1999), pp. 311-322], constitutes a part of the interdisciplinary ...
Alegre Gil, Maria Carmen; Romaguera Bonilla, Salvador(Hindawi Publishing Corporation, 2014-05-28)
This paper deals with fuzzy normed spaces in the sense of Cheng and Mordeson. We characterize fuzzy norms in terms of ascending
and separating families of seminorms and prove an extension theorem for continuous linear ...
Removing the condition of symmetry in the notion of a fuzzy (pseudo)metric, in Kramosil and Michalek's sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set X we ...