Gencturk, IlkerErduran, AliAltun, Ishak2025-01-212025-01-2120241223-7027https://hdl.handle.net/20.500.12587/25357In this paper, we present a new extension of Darbo's fixed point theorem inspired by Rakotch's contraction. We also provide the alternative version of Leray-Schauder type of our new result. In order to demonstrate the applicability of our theoretical result, we present an existence theorem based on a functional equation. Finally, we provide an illustration of our existence theorem.eninfo:eu-repo/semantics/closedAccessfixed point; measure of noncompactness; functional equationArticle8613946WOS:001186097800014N/A