Arik, Irem AkbulutTunc, Cemil2025-05-102025-05-1020222217-341210.54379/JMA-2022-5-42-s2.0-85159568782https://doi.org/10.54379/JMA-2022-5-4https://hdl.handle.net/20.500.14720/8301In the present article, we study existence of periodic solutions (EPSs) of a nonlinear neutral integro- differential equation (NIDE) with multiple variable delays using Krasnoselskiis fixed point theorem. Transforming the considered NIDE to an equivalent integral equation, we prove the EPSs using a fixed point mapping, which is defined as a sum of a contraction and a compact map. The result of this paper has contributions to the topic of the EPSs of NIDEs.eninfo:eu-repo/semantics/closedAccessNeutral Integro-Differential EquationExistence Of Periodic SolutionsKrasnoselskiis Fixed Point TheoremContracting MappingArticle