Newton-type method for solving generalized inclusion

DOI10.1007/s11075-021-01096-8zbMath1482.65081OpenAlexW3142331959MaRDI QIDQ2665946

Yanyan Li

Publication date: 22 November 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01096-8

zbMATH Keywords

Banach spacesNewton-Kantorovich theoremconvex processnonlinear inclusion problem

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical methods based on nonlinear programming (49M37) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Convergence of the Gauss--Newton Method for Convex Composite Optimization under a Majorant Condition
• Convergence and Applications of Newton-type Iterations
• Implicit Functions and Solution Mappings
• Error bounds for the modified Newton's method
• Newton's method under weak Kantorovich conditions
• Inexact Newton method for non-linear functions with values in a cone
• Monotone processes of convex and concave type
• Convex Analysis
• Normed Convex Processes
• Error Bounds for Degenerate Cone Inclusion Problems

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