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Browsing by Author "Romaguera Bonilla, Salvador"

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Browsing by Author "Romaguera Bonilla, Salvador"

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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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    A domain-theoretic approach to fuzzy metric spaces 
    Ricarte Moreno, Luis Alberto; Romaguera Bonilla, Salvador (Elsevier, 2014-02)
    We introduce a partial order (sic)(M) on the set BX of formal balls of a fuzzy metric space (X, M, Lambda) in the sense of Kramosil and Michalek, and discuss some of its properties. We also characterize when the poset (BX, ...
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    A fixed point theorem for generalized contractions involving w-distances on complete quasi-metric spaces 
    Alegre Gil, Maria Carmen; Marín Molina, Josefa; Romaguera Bonilla, Salvador (SpringerOpen, 2014-02)
    We obtain a fixed point theorem for generalized contractions on complete quasi-metric spaces, which involves w-distances and functions of Meir-Keeler and Jachymski type. Our result generalizes in various directions the ...
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    A fixed point theorem for preordered complete fuzzy quasi-metric spaces and an application 
    Castro Company, Francisco; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (SpringerOpen, 2014-03)
    We obtain a fixed point theorem for a type of generalized contractions on preordered complete fuzzy quasi-metric spaces which is applied to deduce, among other results, a procedure to show in a direct and easy fashion the ...
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    A note on phi-contractions in probabilistic and fuzzy metric spaces 
    Alegre Gil, Maria Carmen; Romaguera Bonilla, Salvador (Elsevier, 2017)
    [EN] In a recent paper Fang (2015) [1], J.X. Fang generalized a crucial fixed point theorem for probabilistic ϕ-contractions on com-plete Menger spaces due to Jachymski (2010) [3]. In this note we show that actually ...
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    An identification theorem for the completion of the Hausdorff fuzzy metric 
    Gutierrez García, Javier; Romaguera Bonilla, Salvador; Sanchis, M. (Elsevier, 2013-09-16)
    We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff ...
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    Asymmetric Norms and the dual complexity spaces 
    García Raffi, Luis Miguel (Universitat Politècnica de València, 2008-07-24)
    Desde el punto de vista de la Ciencia de la Computación, un avance reciente lo ha constituido el establecimiento de un modelo matemático que da cuenta de la distancia entre algoritmos y programas, cuando estos son analizados ...
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    Caristi's type mappings on complete partial metric spaces 
    ACAR, ÖZLEM; Altun, Ishak; Romaguera Bonilla, Salvador ("Babeş-Bolyai" University of Cluj-Napoca, 2013)
    [EN] We introduce a new type of Caristi's mapping on partial metric spaces and show that a partial metric space is complete if and only if every Caristi mapping has a fixed point. From this result we deduce a characterization ...
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    Characterizations of partial metric completeness in terms of weakly contractive mappings having fixed point 
    Altun, Ishak; Romaguera Bonilla, Salvador (University of Belgrade and Academic Mind, 2012)
    We characterize both complete and 0-complete partial metri c spaces in terms of weakly contractive mappings having a fixed point. Our resu lts extend a well-known characterization of metric completeness due ...
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    Characterizations of quasi-metric completeness in terms of Kannan-type fixed point theorems 
    Alegre Gil, Maria Carmen; Dag, Hacer; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (Hacettepe Journal of Mathematics and Statistics, 2017)
    [EN] We obtain quasi-metric versions of Kannan's fixed point theorem for self-mappings and multivalued mappings, respectively, which are used to deduce characterizations of d-sequentially complete and of left K sequentially ...
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    Cofinal bicompleteness and quasi-metrizability 
    Pérez Peñalver, María José; Romaguera Bonilla, Salvador (UNIVERSITA DEGLI STUDI DI TRIESTE, 1999)
    [EN] We introduce the notions of a cofinally bicomplete quasi-uniformity and of a cofinally bicomplete quasi-pseudometric. The Sorgenfrey quasi-metric and the Kofner quasi-metric are interesting examples of cofinally ...
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    Coincidence points of generalized multivalued (f,L)-almost F-contraction with applications 
    Abbas, Mujahid; Ali, Basit; Romaguera Bonilla, Salvador (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2015)
    [EN] Recently Abbas [M. Abbas, Coincidence points of multivalued f−almost nonexpansive mappings, Fixed Point Theory, 13 (1) (2012), 3–10] introduced the concept of f−almost contraction which generalizes the class of ...
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    Common fixed points of Ciric-type contractions on partial metric spaces 
    Abbas, Mujahid; Altun, Ishak; Romaguera Bonilla, Salvador (Debreceni Egyetem, Matematika Intézet, 2013)
    We obtain a common fixed point theorem of Boyd-Wong type for four mappings satisfying a Ciric-type contraction on a complete partial metric space. Our result generalizes and unifies, among others, the very recent results ...
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    Complete partial metric spaces have partially metrizable computational models 
    Romaguera Bonilla, Salvador; Tirado Peláez, Pedro; Valero Sierra, Óscar (Taylor & Francis Ltd, 2012)
    We show that the domain of formal balls of a complete partial metric space (X, p) can be endowed with a complete partial metric that extends p and induces the Scott topology. This result, that generalizes well-known ...
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    Completeness of Hutton [0,1]-quasi-uniformities induced by a crisp uniformity 
    Rodríguez López, Jesús; Romaguera Bonilla, Salvador; Sanchis, M. (2019)
    [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 ...
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    Complexity spaces as quantitative domains of computation 
    Romaguera Bonilla, Salvador; Schellekens, M.P.; Valero Sierra, Óscar (Elsevier, 2011-04)
    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 ...
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    Concerning completeness of the fine quasi-uniformity 
    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 ...
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    Contractive Maps and Complexity Analysis in Fuzzy Quasi-Metric Spaces 
    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 ...
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    Contractive multivalued maps in terms of Q-functions on complete quasimetric spaces 
    Karapinar, Erdal; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (SpringerOpen, 2014-02)
    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. ...
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    Convergence of fuzzy sets with respect to the supremum metric 
    Pedraza Aguilera, Tatiana; Rodríguez López, Jesús; Romaguera Bonilla, Salvador (Elsevier, 2014-01-16)
    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 ...