Some generalizations of Darbo&apos

[EN] 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 sev...

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Detalles Bibliográficos
Autores: Khazou, Mohamed, Khchine, Abdelmjid
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/221854
Acceso en línea:https://riunet.upv.es/handle/10251/221854
Access Level:acceso abierto
Palabra clave:Weaktopology
Measure of weak noncompactness
Volterra-type integral equations
Fixed point theorem
Coupled fixed point
Weakly sequentially continuous operator
ws-compact operator
Descripción
Sumario:[EN] 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.