We present a theorem which gives sufficient conditions for existence of at least one solution for some nonlinear functional integral equations in the space of continuous functions on the interval [0, ]. To do this, we will use Darbo's fixed-point theorem associated with the measure of noncompactness. We give also an example satisfying the conditions of our main theorem but not satisfying the conditions described by Maleknejad et al. (2009).

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The purpose of this paper is to study the existence of solutions of some nonlinear functional integral equations in the space of continuous functions defined on interval [0, ] under some conditions. To do this, we will use Krasnoselskii Fixed Point Theorem and Ascoli-Arzela Theorem. Finally we will give an example to illustrate our result.

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In this paper, we study the existence of the solutions of a class of functional integral equations which contain a lot of classical nonlinear integral equations as special cases. We consider the solvability of the equations in the Banach algebra of continuous functions on a closed and bounded interval. The main tools here are the measure of noncompactness and the suitable fixed point theorem for the product of two operators in the Banach algebra.