Abstract
The purpose of the manuscript is to establish the solvability of generalized nonlinear functional integral equations including the kernel psi-functions in Banach algebra. We prove that such a proposed functional integral equation has at least one solution in the space C (I, R); where I = [0, 1]: The measure of non-compactness in C(I, R) together with Darbo's fixed point approach are applied to prove the results. Finally, an example is given to illustrate the obtained theoretical results.