Mani G.Janardhanan G.Ege O.Gnanaprakasam A.J.De la Sen M.2023-01-122023-01-122022207389942073-8994https://doi.org/10.3390/sym14122518https://hdl.handle.net/11454/79927In this paper, we prove the fixed-point theorem for rational contractive mapping on ®-metric space. Additionally, an Euclidean metric space with a binary relation example and an application to the first-order boundary value problem are given. Moreover, the obtained results generalize and extend some of the well-known results in the literature. © 2022 by the authors.en10.3390/sym14122518info:eu-repo/semantics/openAccessfixed pointrational contractive mapping®-complete metric spaceArticle14122-s2.0-85144864471Q2