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

	An existence theorem for a general class of weakly singular integral equations in Banach spaces
International Journal of Nonlinear Analysis and Applications
مقاله 15، دوره 17، شماره 4، تیر 2026، صفحه 175-181 اصل مقاله (359.92 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.34765.5199
نویسندگان
Manochehr Kazemi؛ Hamid Reza Sahebi^*
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
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
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