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

نویسندگان
Kazemi, Manochehr ID 1
Sahebi, Hamid Reza ID 2

1 Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.

2 Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran

doi
10.22075/ijnaa.2025.34765.5199
چکیده

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.

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