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]
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 ...
[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. ...
[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 ...
[EN] We obtain versions of the Boyd and Wong fixed point theorem and of the
Matkowski fixed point theorem for multivalued maps and w-distances on complete
quasi-metric spaces. Our results generalize, in several directions, ...