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Listar por palabra clave "Quasi-metric space"

Mostrando ítems 1-11 de 11

A Characterization of Quasi-Metric Completeness in Terms of alpha-psi-Mappings Having Fixed Points

Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (MDPI AG, 2020-01)

[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 ...
A characterizations of quasi-metric completeness

Dag, Hacer; Romaguera, Salvador; Tirado, Pedro (Editorial Universitat Politècnica de València, 2017-10-23)

[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 ...
A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces

Alegre Gil, Maria Carmen; Fulga, Andreea; Karapinar, Erdal; Tirado Peláez, Pedro (MDPI AG, 2020-09)

[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 ...
Contractions of Kannan-type and of Chatterjea-type on fuzzy quasi-metric spaces

Romaguera Bonilla, Salvador (Erdal Karap&#305nar, 2022-08-11)

[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 ...
Multiple fixed point theorems for contractive and Meir-Keeler type mappings defined on partially ordered spaces with a distance

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 ...
On the domain of formal balls of the Sorgenfrey quasi-metric space

Romaguera Bonilla, Salvador; Schellekens, Michel; Tirado Peláez, Pedro; Valero Sierra, Óscar (Elsevier, 2016)

[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 ...
On the fixed point theory in bicomplete quasi-metric spaces

Alegre Gil, Maria Carmen; Dag, Hacer; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (Shomal University, 2016)

[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 ...
On the weak form of Ekeland s Variational Principle in quasi-metric spaces

Karapinar, Erdal; Romaguera Bonilla, Salvador (Elsevier, 2015-04-01)

[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) ...
Revisiting Bianchini and Grandolfi Theorem in the Context of Modified omega-Distances

Alegre Gil, Maria Carmen; Karapinar, Erdal; Marín Molina, Josefa; Tirado Peláez, Pedro (Springer-Verlag, 2019-12)

[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 ...
The Meir-Keeler Fixed Point Theorem for Quasi-Metric Spaces and Some Consequences

Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (MDPI AG, 2019-06-01)

[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 ...
Weakly contractive multivalued maps and w-distanceson complete quasi-metric spaces

Marín Molina, Josefa; Romaguera Bonilla, Salvador; Tirado Peláez, Pedro (SpringerOpen, 2011)

[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, ...