[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 ...
[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 ...
[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 ...
[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 ...
Choban, Mitrofan M; Berinde, Vasile(Universitat Politècnica de València, 2017-10-02)
[EN] We introduce and study a general concept of multiple fixed point for mappings defined on partially ordered distance spaces in the presence of a contraction type condition and appropriate monotonicity properties. This ...
[EN] We show that the poset of formal balls of the Sorgenfrey quasi-metric space is an omega-continuous domain, and deduce that it is also a computational model, in the sense of R.C. Flagg and R. Kopperman, for the Sorgenfrey ...
[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 ...
[EN] We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Eke land's Variational Principle. This result solves a question raised by S. Cobzas (2011) ...
[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 ...
[EN] We obtain quasi-metric versions of the famous Meir¿Keeler fixed point theorem from which
we deduce quasi-metric generalizations of Boyd¿Wong¿s fixed point theorem. In fact, one of these
generalizations provides a ...
[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, ...