[EN] We obtain a characterization of Hausdorff left K-complete quasi-metric spaces by means of alpha-psi-contractive mappings, from which we deduce the somewhat surprising fact that one the main fixed point theorems of ...
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 ...
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, ...
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 ...
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 ...
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 ...
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 ...
Romaguera Bonilla, Salvador; Tirado Peláez, Pedro(National Library of Serbia, 2021)
[EN] We introduce and discuss several types of alpha - psi-contractive mappings on quasi-metric spaces. We obtain some fixed point theorems in this setting and present suitable examples to show the validity of our approach ...
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 ...
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 ...
[EN] This paper deals with the question of achieving a suitable extension of the notion of Suzuki-type contraction to the framework of quasi-metric spaces, which allows us to obtain reasonable fixed point theorems in the ...
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 ...
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 ...
[EN] Involving w-distances we prove a fixed point theorem of Caristi-type in the realm of (non -necessarily T-1) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained. ...
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. ...
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 ...
[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 ...
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 ...
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 ...