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Browsing by Author "Tirado, Pedro"

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    Article
    Citation - WoS: 12
    Citation - Scopus: 23
    Characterizations of Quasi-Metric and G-Metric Completeness Involving W-Distances and Fixed Points
    (de Gruyter Poland Sp Z O O, 2022) Romaguera, Salvador; Tirado, Pedro; Karapinar, Erdal; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    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. Our approach allows us to retrieve several key examples occurring in various fields of mathematics and computer science and that are modeled as non-T-1 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.
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    Citation - WoS: 9
    Citation - Scopus: 11
    A Discussion on P-Geraghty Contraction on Mw-Quasi Spaces
    (Mdpi, 2020) Fulga, Andreea; Karapinar, Erdal; Tirado, Pedro; Alegre, Carmen; 19184; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    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 the results obtained.