Gencturk, LkerHancer, Hatice AslanAltun, Ishak2025-01-212025-01-2120240354-5180https://doi.org/10.2298/FIL2418325Ghttps://hdl.handle.net/20.500.12587/25465We present some new extensions of Darbo's fixed-point theorem with a different aspect than those available in the literature by introducing the concept of (k, L)-set contraction. The concept of (k, L)-set contraction is interesting since there is no restriction for the constant L. We also present the nonlinear Leray-Schauder type alternative for one of our results. Finally, to demonstrate the applicability, we utilize theoretical results to provide the existence of solution of an integral equation.eninfo:eu-repo/semantics/closedAccessFixed point; compact map; measure of noncompactness; integral equationArticle38186325633210.2298/FIL2418325G2-s2.0-85208495384Q3WOS:001348592600001N/A