Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation
Year: 2025
Type: article
Abstract: In this paper, we provide some generalizations of Darbo's fixed point theorem for larger classes of contraction. Our results are investigated under the weak topology of a Banach space using the measure of weak noncompactness. The results presented in the paper generalize and extend several well-known comparable results in the literature. Further, We illustrate the applicability of our theoretical findings by studying the existence of solutions for a coupled of nonlinear Volterra-type integral equations.
Source: Applied General Topology
Authors: Mohamed Khazou, Abdelmjid Khchine
Institution: Cadi Ayyad University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409059003