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]
[EN] In this paper we consider a kind of Geraghty contractions by using mw-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples ...
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 ...
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 phi-contractions on complete Menger spaces due to Jachymski (2010) [3]. In this note we show that actually Fang ...
Sanabria-Codesal, Esther; Alegre Gil, Maria Carmen; Bravo Villar, María Pilar; Esteban Romero, Ramón; Fuster Capilla, R.; Gasso Matoses, María Teresa; Martínez-Pastor, Ana; Monserrat Delpalillo, Francisco José; Pedraza Aguilera, María Carmen(Instituto de Ciencias de la Educación de la Universidad de Alicante, 2011-11-08)
[ES] Durante el curso 2010-11 se ha implantado la titulación de Grado en Ingeniería Informática en la Escuela
Técnica Superior de Ingeniería Informática (ETSINF) de la Universidad Politécnica de Valencia (UPV).
Álgebra es ...
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 ...
Alegre Gil, Maria Carmen; Marín Molina, Josefa(Elsevier, 2016-04-15)
[EN] In this paper we introduce the notion of modified w-distance (mw-distance) on a quasi-metric space which generalizes the concept of quasi-metric. We obtain a fixed point theorem for generalized contractions with respect ...
[EN] We show that some important fixed point theorems on complete metric spaces as Browder’s fixed point
theorem and Matkowski’s fixed point theorem can be easily generalized to the framework of bicomplete
quasi-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. ...
Alegre Gil, Maria Carmen; Martínez Pastor, Ana; Pedraza Aguilera, María Carmen(Editorial Universitat Politècnica de València, 1997-07-23)
Se trata de un texto de problemas resueltos en el ámbito de la Matemática Discreta,
destinado principalmente a estudiantes de Informática, aunque muchos de los tópicos
incluidos pueden ser útiles a estudiantes de otras ...
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 ...
[EN] In this paper, we establish a proof for Bianchini and Grandolfi Theorem in the context of quasi-metric spaces via modified omega-distances. As consequences of our main results, we derive several existing fixed point ...
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 ...
We obtain a uniform boundedness type theorem in the frame of asymmetric normed spaces. The classical result for normed spaces follows as a particular case.
[EN] In this paper we show that, in contrast to what happens in a normed space, the weak topology of a finite dimensional asymmetric normed space is not necessarily the same as the topology of the asymmetric norm. We provide ...
Alegre Gil, Maria Carmen(Editorial Universitat Politècnica de València, 2017-10-23)
[EN] In this paper we prove a Banach-type fixed point theorem and a Kannan-type theorem in the setting of quasi-metric spaces using the notion of mw-distance. These theorems generalize some results that
have recently ...