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    Some new extensions of Darbo's fixed point theorem with application
    (Univ Nis, Fac Sci Math, 2024) Gencturk, Lker; Hancer, Hatice Aslan; Altun, Ishak
    We 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.