Expanding the applicability of the Kantorovich's theorem for solving generalized equations using Newton's method

DOI10.1007/s40819-016-0297-xzbMath1397.65079OpenAlexW2562627167MaRDI QIDQ1792194

Santhosh George, Ioannis K. Argyros

Publication date: 11 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0297-x

zbMATH Keywords

Newton's methodmaximal monotone operatorgeneralized equationKantorovich's theoremrestricted convergence domains

Mathematics Subject Classification ID

Nonlinear programming (90C30) Set-valued and variational analysis (49J53) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Weaker conditions for the convergence of Newton's method
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• Convergence of the Gauss--Newton Method for Convex Composite Optimization under a Majorant Condition
• 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 and Complexity of Newton Iteration for Operator Equations
• Convex Analysis
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