[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 ...
Romaguera Bonilla, Salvador(National Library of Serbia, 2020)
[EN] We obtain a fixed point theorem for complete fuzzy metric spaces, in the sense of Kramosiland Michalek, that extends the classical Kannan fixed point theorem. We also show that, in fact, ourtheorem ...
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 ...
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 ...
[EN] With the help of C-contractions having a fixed point, we obtain a characterization of complete fuzzy metric spaces, in the sense of Kramosil and Michalek, that extends the classical theorem of H. Hu (see "Am. Math. ...
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 ...
Removing the condition of symmetry in the notion of a fuzzy (pseudo)metric, in Kramosil and Michalek's sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set X we ...
[EN] We propose a notion of w-distance for fuzzy metric spaces, in the sense of Kramosil and Michalek, which allows us to obtain a characterization of complete fuzzy metric spaces via a suitable fixed point theorem that ...