Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 17 4 2026 04 01 An existence theorem for a general class of weakly singular integral equations in Banach spaces 175 181 9606 10.22075/ijnaa.2025.34765.5199 EN Manochehr Kazemi Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran 0000-0001-8392-6690 Hamid Reza Sahebi Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran 0000-0001-8258-6719 Journal Article 2024 07 16 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. Existence of solution Measure of noncompactness $\mathbb{NIE}$s P-theorem Banach space https://ijnaa.semnan.ac.ir/article_9606_138163901f4859c9601f08cfa428efe1.pdf