A generalization of Darbo's theorem with application to the solvability of systems of integral equations

• Autores: Asadollah Aghajani, R. Allahyari, Mohammad Mursaleen
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 260, Nº 1, 2014, págs. 68-77
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.09.039
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• Resumen

  • In this paper,wegive an extension of Darbo�s fixed point theorem associated with measures of noncompactness, and present some results on the existence of coupled fixed points for a class of condensing operators in Banach spaces. Moreover, as an application, we study the problem of existence of solutions for a general system of nonlinear integral equations.