Ball convergence of some iterative methods for nonlinear equations in Banach space under weak conditions

DOI10.1007/S13398-017-0420-9zbMath1468.65058OpenAlexW2737933070MaRDI QIDQ1800622

Ioannis K. Argyros, Santhosh George

Publication date: 24 October 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0420-9

zbMATH Keywords

local convergenceNewton-type methodradius of convergencerestricted convergence domains

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical solutions to equations with nonlinear operators (65J15) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Cites Work

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• Ball convergence of a sixth order iterative method with one parameter for solving equations under weak conditions
• LOCAL CONVERGENCE FOR SOME THIRD-ORDER ITERATIVE METHODS UNDER WEAK CONDITIONS
• Newton's method under weak Kantorovich conditions
• Adaptive Approximation of Nonlinear Operators
• A modified Newton-Jarratt's composition

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