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A variant of the Newton-Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type
ArticleAbstract: We study nonlinear integral equations of mixed Hammerstein type using Newton's method as follows. WePalabras claves:Bratu's equation, Hammerstein's equation, Kantorovich's theorem, Majorizing sequence, Newton's method, semilocal convergenceAutores:Daniel González, Ezquerro J., Hernández-Verón M.Fuentes:scopusExtending the applicability of Newton's method for a class of boundary value problems using the shooting method
ArticleAbstract: We use Newton's method to approximate locally unique solutions for a class of boundary value problemPalabras claves:boundary value problem, Lipschitz condition, Newton's method, Shooting methodAutores:Argyros I.K., Daniel González, Gutiérrez J.M., Johan CeballosFuentes:scopusExtending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces
ArticleAbstract: We extend the applicability of Newton's method for k-Fréchet differentiable operators in a Banach spPalabras claves:A priori error estimates, Hammerstein integral equation, Majorizing sequence, Newton's method, semilocal convergence, The Newton-Kantorovich theoremAutores:Argyros I.K., Daniel GonzálezFuentes:scopus