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Browsing by Subject "Fixed point"

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Browsing by Subject "Fixed point"

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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 characterizations of quasi-metric completeness 
    Dag, Hacer; Romaguera, Salvador; Tirado, Pedro (Editorial Universitat Politècnica de València, 2017-10-23)
    [EN] Hu proved in [4] that a metric space (X, d) is complete if and only if for any closed subspace C of (X, d), every Banach contraction on C has fixed point. Since then several authors have investigated the problem of ...
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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 local fixed point theorem for set-valued mappings on partial metric spaces 
    Benterki, Abdessalem (Universitat Politècnica de València, 2016-04-12)
    [EN] The purpose of this paper is to study the existence and location of fixed points for pseudo-contractive-type set-valued mappings in the setting of partial metric spaces by using Bianchini-Grundolfi gauge functions.
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    A new model based on a fuzzy quasi-metric type Baire applied to analysis of complexity 
    Tirado Peláez, Pedro (IOS Press, 2014)
    [EN] We analyze the complexity of an expoDC algorithm by deducing the existence of solution for the recurrence inequation associated to this algorithm by means of techniques of Denotational Semantics in the context of fuzzy ...
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    A note on a fixed point theorem for ray oriented maps 
    Arockiasamy, A.; Eldred, Anthony (Universitat Politècnica de València, 2008-10-01)
    [EN] In this paper, we will prove a fixed point theorem for a ray-oriented map defined on a nonempty closed bounded convex subset of a Banach space.
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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 equivalence of results in C*-algebra valued b-metric and b-metric spaces 
    Dung, Nguyen Van; Le Hang, Vo Thi; Dolicanin-Djekic, Diana (Universitat Politècnica de València, 2017-10-02)
    [EN] In this paper, we first construct ab-metric, which is a special type ofC∗-algebra-valuedb-metrics, from a givenC∗-algebra-valuedb-metricand prove some equivalences between them. Then we show that notonly fixed point ...
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    Best proximity pair theorems for relatively nonexpansive mappings 
    Sankar Raj, V.; Veeramani, P. (Universitat Politècnica de València, 2009-04-01)
    [EN] Let A, B be nonempty closed bounded convex subsets of a uniformly convex Banach space and T : A∪B → A∪B be a map such that T(A) ⊆ B, T(B) ⊆ A and ǁTx − Tyǁ ≤ ǁx − yǁ, for x in A and y in B. The fixed point equation ...
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    Best proximity points of contractive mappings on a metric space with a graph and applications 
    Sultana, Asrifa; Vetrivel, V. (Universitat Politècnica de València, 2017-04-03)
    [EN] We establish an existence and uniqueness theorem on best proximity point for contractive mappings on a metric space endowed with a graph. As an application of this theorem, we obtain a result on the existence of unique ...
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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 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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    Complex dynamics of derivative-free methods for nonlinear equations 
    Chicharro López, Francisco Israel; Cordero Barbero, Alicia; Gutiérrez, José M.; Torregrosa Sánchez, Juan Ramón (Elsevier, 2013-02-15)
    The dynamical behavior of two iterative derivative-free schemes, Steffensen and M4 methods, is studied in case of quadratic and cubic polynomials. The parameter plane is analyzed for both procedures on quadratic polynomials. ...
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    Contraction mappings in fuzzy quasi-metric spaces and [0,1]-fuzzy posets 
    Tirado Peláez, Pedro ("Babeş-Bolyai" University of Cluj-Napoca, 2012)
    [EN] It is well known that each bounded ultraquasi-metric on a set induces, in a natural way, an [0,1]-fuzzy poset. On the other hand, each [0,1]-fuzzy poset can be seen as a stationary fuzzy ultraquasi-metric space for ...
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    Contractive definitions and discontinuity at fixed point 
    Bisht, Ravindra K.; Pant, R. P. (Universitat Politècnica de València, 2017-04-03)
    [EN] In this paper, we investigate some contractive definitions which are strong enough to generate a fixed point that do not force the mapping to be continuous at the fixed point. Finally, we obtain a fixed point theorem ...
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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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    Contractive sequences in fuzzy metric spaces 
    Gregori Gregori, Valentín; Miñana, Juan-José; Miravet-Fortuño, David (Elsevier, 2020-01-15)
    [EN] In this paper we present an example of a fuzzy psi-contractive sequence in the sense of D. Mihet, which is not Cauchy in a fuzzy metric space in the sense of George and Veeramani. To overcome this drawback we introduce ...
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    Digital fixed points, approximate fixed points, and universal functions 
    Boxer, Laurence; Ege, Ozgur; Karaca, Ismet; Lopez, Jonathan; Louwsma, Joel (Universitat Politècnica de València, 2016-10-03)
    [EN] A. Rosenfeld introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces ...
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    Discontinuity at fixed point and metric completeness 
    Bisht, Ravindra K.; Rakocevic, Vladimir (Universitat Politècnica de València, 2020-10-01)
    [EN] In this paper, we prove some new fixed point theorems for a generalized class of Meir-Keeler type mappings, which give some new solutions to the Rhoades open problem regarding the existence of contractive mappings ...