A generalized Kantorovich theorem for nonlinear equations based on function splitting

DOI10.1007/s12215-009-0034-yzbMath1189.65120OpenAlexW2041807622MaRDI QIDQ2269952

Ioannis K. Argyros, Livinus Ugochukwu Uko

Publication date: 12 March 2010

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

Full work available at URL: https://doi.org/10.1007/s12215-009-0034-y

zbMATH Keywords

numerical exampleBanach spacesNewton methodmajorant methodnonlinear equationsmajorizing sequencecenter-Lipschitz condition

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

A Newton-like method for generalized operator equations in Banach spaces

Uses Software

• NewtonLib

Cites Work

• Sharp error bounds for Newton's process
• On the Newton-Kantorovich hypothesis for solving equations
• A weak Kantorovich existence theorem for the solution of nonlinear equations
• Error bounds for Newton’s process derived from the Kantorovich theorem
• Optimal Error Bounds for the Newton–Kantorovich Theorem
• On the Kantorovich Hypothesis for Newton’s Method
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