Tunc, CemilBicer, Emel2025-05-102025-05-1020152337-576010.5614/j.math.fund.sci.2015.47.2.32-s2.0-84937953127https://doi.org/10.5614/j.math.fund.sci.2015.47.2.3https://hdl.handle.net/20.500.14720/15576Tunc, Cemil/0000-0003-2909-8753In this paper, by using the fixed point method, we prove two new results on the Hyers-Ulam-Rassias and the Hyers-Ulam stability for the first order delay differential equation of the form y'(t) = F(t, y(t), y(t - tau)). Our results improve some related results in the literature.eninfo:eu-repo/semantics/openAccessFirst OrderFixed PointFunctional Differential EquationGeneralized MetricHyers-Ulam-Rassias StabilityArticle