Extending the Kantorovich's theorem on Newton's method for solving strongly regular generalized equation

DOI10.1007/s11590-018-1266-6zbMath1417.90151OpenAlexW2801445168WikidataQ129969480 ScholiaQ129969480MaRDI QIDQ1733339

Ioannis K. Argyros, Gilson N. Silva

Publication date: 21 March 2019

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-018-1266-6

zbMATH Keywords

Newton's methodstrong regularitygeneralized equationKantorovich's theoremweaker majorant condition

Mathematics Subject Classification ID

Methods of quasi-Newton type (90C53)

Related Items (1)

Newton's method for solving generalized equations without Lipschitz condition

Cites Work

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• Kantorovich's majorants principle for Newton's method
• Newton's method for generalized equations: a sequential implicit function theorem
• Local convergence analysis of Newton's method for solving strongly regular generalized equations
• Kantorovich's theorem on Newton's method for solving generalized equations under the majorant condition
• Extension of Newton's method to nonlinear functions with values in a cone
• Iterative Methods and Their Dynamics with Applications
• Implicit Functions and Solution Mappings
• The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
• Strongly Regular Generalized Equations
• Convergence of Newton’s method and inverse function theorem in Banach space
• COMPLEXITY AND REAL COMPUTATION: A MANIFESTO
• Local convergence of Newton’s method for solving generalized equations with monotone operator
• Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
• Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation

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