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Browsing by Subject "Quasi-metric"

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Browsing by Subject "Quasi-metric"

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    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]
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    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 ...
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    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 ...
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    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 ...
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    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 ...
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    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) ...
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    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 ...
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    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 ...
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    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.
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    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 ...
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    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 ...