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Listar por palabra clave "Quasi-metric"

Mostrando ítems 1-15 de 15

A Caristi fixed point theorem for complete quasi-metric spaces by using mw-distances

Alegre Gil, Maria Carmen; Marín Molina, Josefa (Babes-Bolyai University, 2018-02-01)

[EN] In this paper we give a quasi-metric version of Caristi's fixed point theorem by using mw-distances. Our theorem generalizes a recent result obtained by Karapinar and Romaguera in [7]
A characterization of Smyth complete quasi-metric spaces via Caristi's fixed point theorem

Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND, 2015-10)

We obtain a quasi-metric generalization of Caristi's fixed point theorem for a kind of complete quasi-metric spaces. With the help of a suitable modification of its proof, we deduce a characterization of Smyth complete ...
Basic Contractions of Suzuki-Type on Quasi-Metric Spaces and Fixed Point Results

Romaguera Bonilla, Salvador (MDPI AG, 2022-11)

[EN] This paper deals with the question of achieving a suitable extension of the notion of Suzuki-type contraction to the framework of quasi-metric spaces, which allows us to obtain reasonable fixed point theorems in the ...
Characterizations of quasi-metric and G-metric completeness involving w-distances and fixed points

Karapinar, Erdal; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (De Gruyter Open, 2022-12-13)

[EN] Involving w-distances we prove a fixed point theorem of Caristi-type in the realm of (non -necessarily T-1) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained. ...
Duality and quasi-normability for complexity spaces

Romaguera, Salvador; Schellekens, M.P. (Universitat Politècnica de València, 2002-04-01)

[EN] The complexity (quasi-metric) space was introduced in [23] to study complexity analysis of programs. Recently, it was introduced in [22] the dual complexity (quasi-metric) space, as a subspace of the function space ...
Extendible spaces

Schellekens, M.P. (Universitat Politècnica de València, 2002-10-01)

[EN] The domain theoretic notion of lifting allows one to extend a partial order in a trivial way by a minimum. In the context of Quantitative Domain Theory partial orders are represented as quasi-metric spaces. For such ...
Fuzzy quasi-metric spaces

Gregori, Valentín; Romaguera, Salvador (Universitat Politècnica de València, 2004-04-01)

[EN] We generalize the notions of fuzzy metric by Kramosil and Michalek, and by George and Veeramani to the quasi-metric setting.We show that every quasi-metric induces a fuzzy quasi-metric and ,conversely, every fuzzy ...
Hybrid topologies on the real line

Richmond, Tom (Universitat Politècnica de València, 2023-04-05)

[EN] Given A ⊆ R, the Hattori space H(A) is the topological space (R, τA) where each a ∈ A has a τA-neighborhood base {(a−ε, a+ε) : ε > 0} and each b ∈ R − A has a τA-neighborhood base {[b, b + ε) : ε > 0}. Thus, τA may ...
New results on the mathematical foundations of asymptotic complexity analysis of algorithms via complexity spaces

Romaguera Bonilla, Salvador; Tirado Peláez, Pedro; Valero Sierra, Óscar (Taylor & Francis Ltd, 2012)

Schellekens [The Smyth completion: A common foundation for denotational semantics and complexity analysis, Electron. Notes Theor. Comput. Sci. 1 (1995), pp. 211-232.] introduced the theory of complexity (quasi-metric) ...
On Banach fixed point theorems for partial metric spaces

Valero, Oscar (Universitat Politècnica de València, 2005-10-01)

[EN] In this paper we prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O’Neill) given in, obtaining as a particular case of our results the Banach fixed point theorem ...
Quasi-Metric Properties of the Dual Cone of an Asymmetric Normed Space

Alegre Gil, Maria Carmen (Springer-Verlag, 2022-08)

[EN] We obtain some quasi-metric properties of the dual cone of an asymmetric normed space. Thus, we prove that it is balanced, and hence its topology is completely regular. We also prove that it is complete in the sense ...
Quasi-metrics and monotone normality

Gutiérrez García, Javier; Romaguera Bonilla, Salvador; Sánchez Álvarez, José Manuel (Elsevier, 2011-09-15)

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 ...
Quasi-metrics, midpoints and applications

Valero, Oscar (Editorial Universitat Politècnica de València, 2017-10-23)

[EN] In this short note we want to explicitly state that there is a growing research activity in the field of information aggregation via midpoint theory and its applications to decision making.
Semi-lipschitz functions, best approximation, and fuzzy quasi-metric hyperspaces

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 ...
The bicompletion of fuzzy quasi-metric spaces

Castro Company, Francisco; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (Elsevier, 2011-03-16)

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 ...