[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 ...
[EN] The notion of wt-distance, introduced by Hussain et al. provides a natural generalization
to the b-metric framework of the well-known and fruitful concept of w-distance, initiated by Kada et
al. Since then, several ...
[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 ...
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. ...
[EN] We characterize the completeness of fuzzy quasi-metric spaces by means of a fixed point theorem of Kannan-type.
Thus, we extend the classical characterization of metric completeness due to Subrahmanyam as well as ...
[EN] We obtain several characterizations of complete G-metric spaces by means of fixed point theorems. Our results provide extensions to the G-metric framework of several well-know characterizations of metric completeness, ...
Reynoso Erazo, Jose Nicolas(Universitat Politècnica de València, 2023-10-20)
[ES] En el estudio de las matemáticas, la búsqueda de la generalización y la abstracción de distintos conceptos encapsulados en diferentes teorías siempre ha sido primordial para estudiarlas en la medida en que lo permite ...
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 ...
[EN] We solve a question posed by E. Karapinar, F. Khojasteh and Z.D. Mitrovic in their paper "A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces". We also characterize the completeness of b-metric ...
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 ...