Work

On the Solution of n ‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

Year: 2025

Type: article

Abstract: In this study, the solvability of a general form of product type of n ‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C ([1, a ] × [1, b ]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of noncompactness. This forms a generalization of the Schauder, Darbo, and classical Petryshyn’s F.P.T. The problem under study encompasses various integral equations, as different special cases have been previously investigated in the literature. Finally, we present several illustrative examples to validate our underlying assumptions.

Source: Journal of Mathematics

DOI: 10.1155/jom/1132501

Authors: Mohamed M. A. Metwali, Manochehr Kazemi, Shami A. M. Alsallami

Institutions: Prince Sattam Bin Abdulaziz University, Damanhour University, Islamic Azad University, Ashtian Branch, Umm al-Qura University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,160

Funder: Umm Al-Qura University