Romaguera, SalvadorTirado, PedroKarapinar, Erdal02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-02-292025-09-182024-02-292025-09-182022Karapınar, E.; Romaguera, S.; Tirado, P. (2022). "Characterizations of quasi-metric and G-metric completeness involving w-distances and fixed points", Demonstratio Mathematica, Vol.55, No.1, pp.939-951.0420-12132391-4661https://doi.org/10.1515/dema-2022-0177https://hdl.handle.net/123456789/10910Tirado, Pedro/0000-0003-1593-9494Involving 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.eninfo:eu-repo/semantics/openAccessQuasi-MetricCompleteW-DistanceFixed PointG-MetricArticle10.1515/dema-2022-01772-s2.0-85144116320