A degree for a class of acyclic-valued vector fields in Banach spaces
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M. Furi, M. Martelli (1974)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear integral equations of mixed Hammerstein type.
José Antonio Ezquerro, Daniel González, Miguel Ángel Hernández (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
From Kantorovich’s theory we present a semilocal convergence result for Newton’s method which is based mainly on a modification of the condition required to the second derivative of the operator involved. In particular, instead of requiring that the second derivative is bounded, we demand that it is centered. As a consequence, we obtain a modification of the starting points for Newton’s method. We illustrate this study with applications to nonlinear...
Zajíček, L. (1984)
Proceedings of the 11th Winter School on Abstract Analysis
Marián J. Fabián, David Preiss (1987)
Commentationes Mathematicae Universitatis Carolinae
Capri, O.N., Fava, N.A. (1987)
Portugaliae mathematica
Milan Kučera (1977)
Commentationes Mathematicae Universitatis Carolinae
Jacek Jachymski (2005)
Studia Mathematica
We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.
Bogdan Rzepecki (1982)
Rendiconti del Seminario Matematico della Università di Padova
Josef Daneš, Jiří Durdil (1976)
Commentationes Mathematicae Universitatis Carolinae
Luděk Zajíček (1993)
Acta Universitatis Carolinae. Mathematica et Physica
Guillermo Restrepo (1971)
Revista colombiana de matematicas
Alexander Haščák (1988)
Czechoslovak Mathematical Journal
G. Hetzer, J. Reinermann (1974/1975)
Jahresbericht der Deutschen Mathematiker-Vereinigung
Jari Taskinen (1993)
Mathematische Annalen
Luděk Jokl (1981)
Commentationes Mathematicae Universitatis Carolinae
Jens Frehse (1978)
Mathematische Zeitschrift
D.A. Sânchez (1974/1975)
Numerische Mathematik
Jozef Kačur (1984)
Czechoslovak Mathematical Journal
Igbokwe, D.I. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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