On a nonsmooth version of Newton's method using locally Lipschitzian operators

DOI10.1007/BF03031424zbMath1196.65090MaRDI QIDQ997561

Ioannis K. Argyros

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Newton's methodBanach spaceBanach Lemma on invertible operatorsPoint-based-approximation

Mathematics Subject Classification ID

Newton-type methods (49M15) Fixed-point theorems (47H10) Error analysis and interval analysis (65G99)

Cites Work

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• Resolution of quadratic equations in banach spaces