Some generalizations of Darbo's fixed point theorem under weak topology features with application to a Volterra-type integral equation

• Khazou, Mohamed ^[1] ; Khchine, Abdelmjid ^[1]
  1. [1] Cadi Ayyad University

     Cadi Ayyad University

     Marrakech-Medina, Marruecos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 1, 2025, págs. 51-70
• Idioma: inglés
• DOI: 10.4995/agt.2025.20505
• Enlaces
  • Texto completo
• Resumen

  • 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.

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