On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem under the conditions of the Krasnosielski and Krein type
B. Palczewski (1964)
Annales Polonici Mathematici
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B. Palczewski (1964)
Annales Polonici Mathematici
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B. Choczewski (1971)
Annales Polonici Mathematici
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D. Adnađević (1984)
Matematički Vesnik
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M. R. Tasković (1971)
Matematički Vesnik
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Agratini, Octavian (1998)
General Mathematics
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Tadeusz Jankowski (1971)
Annales Polonici Mathematici
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Dana Fraňková (1989)
Časopis pro pěstování matematiky
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Hans Jarchow (1973)
Publications du Département de mathématiques (Lyon)
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Florian Cajori (1893)
Bulletin of the New York Mathematical Society
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M. Polak, Z. Rychlik (1987)
Colloquium Mathematicae
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G. Eneström (1893/94)
Bulletin of the New York Mathematical Society
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S. Pilipović (1979)
Matematički Vesnik
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Ioannis K. Argyros, Santhosh George (2017)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the operator under consideration is used to prove the convergence of the method. That restricts the applicability of the method. In this paper we extended the applicability of the sixth-order multi-step method by using only hypotheses on the first derivative of the operator...
Santhosh George, Ioannis K. Argyros (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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The aim of this article is to provide the local convergence analysis of two novel competing sixth convergence order methods for solving equations involving Banach space valued operators. Earlier studies have used hypotheses reaching up to the sixth derivative but only the first derivative appears in these methods. These hypotheses limit the applicability of the methods. That is why we are motivated to present convergence analysis based only on the first derivative. Numerical examples...
Pierre Lesaint (1975)
Publications mathématiques et informatique de Rennes
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