An existence theorem for a general class of weakly singular integral equations in Banach spaces

The purpose of this paper is devoted to establish the existence of a solution for a general class of nonlinear integral equations with weakly-singular terms. Our technique is based on the P-theorem associated with the Hausdorff M.N.C.  Furthermore, we provide an example to demonstrate the practicality of the result obtained.

کلیدواژه ها:

Existence of solution ، Measure of noncompactness ، \mathbb{NIE}s ، P-theorem ، Banach space