Karapınar, ErdalKarapınar, ErdalRomaguera, SalvadorTirado, Pedro2024-02-292024-02-292022Karapınar, 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.939-951.4201213https://hdl.handle.net/20.500.12416/7377nvolving w w -distances we prove a fixed point theorem of Caristi-type in the realm of (non-necessarily T 1 {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 {T}_{1} quasi-metric spaces. As an application, we deduce a characterization of complete G 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/openAccessCompleteFixed PointG-MetricQuasi-MetricW-DistanceArticle55193995110.1515/dema-2022-0177