Characterizations of quasi-metric and G-metric completeness involving w-distances and fixed points

• Autorzy: Karapınar Erdal , Romaguera Salvador , Tirado Pedro

Identyfikatory

DOI

10.1515/dema-2022-0177

• Języki publikacji: EN

Abstrakty

EN

Involving w-distances we prove a fixed point theorem of Caristi-type in the realm of (non-necessarily T1) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained. Our approach allows us to retrieve several key examples occurring in various fields of mathematics and computer science and that are modeled as non- T1 quasi-metric spaces. As an application, we deduce a characterization of complete G -metric spaces in terms of a weak version of Caristi’s theorem that involves a G-metric version of w-distances.

Słowa kluczowe

EN

quasi-metrics; complete; w-distance; fixed point; G-metrics

PL

przestrzeń quasi-metryczna; kompletowanie; odległość; punkt stały

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 939--951
• Opis fizyczny: Bibliogr. 56 poz.

Twórcy

autor

Karapınar Erdal

• Division of Applied Mathematics, Thu Dau Mot University, Thu Dau Mot City 820000, Binh Duong Province, Vietnam
• Department of Mathematics, Çankaya University, 06790, Etimesgut, Ankara, Turkey
• Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan

autor

Romaguera Salvador

• Instituto Universitario de Matemática Pura y Aplicada-IUMPA, Universitat Politècnica de València, 46022 Valencia, Spain

autor

Tirado Pedro

• Instituto Universitario de Matemática Pura y Aplicada-IUMPA, Universitat Politècnica de València, 46022 Valencia, Spain

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).