In this article, using Darbo's fixed-point theorem associated with the measure of noncompactness, we prove a theorem on the existence of the solutions of some nonlinear functional integral equations in the space of continuous functions on interval [0, a]. Our existence results include several existence results obtained earlier by Maleknejad et al. [7] and ozdemir et al. [8] as special cases under some weaker conditions. We give also some examples which show that our results are applicable.
C1 [Cakan, Umit] Nevsehir Haci Bektas Veli Univ, Fen Edebiyat Fak, Matemat Bolumu, TR-50300 Nevsehir, Turkey.
[Ozdemir, Ismet] Inonu Univ, Egitim Fak, Malatya, Turkey.