A general iterative procedure to solve generalized equations with differentiable multifunction

DOI10.1007/s10957-020-01635-8zbMath1436.49041OpenAlexW3006274790MaRDI QIDQ1985284

Gilson N. Silva, Michaël Gaydu

Publication date: 7 April 2020

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-020-01635-8

zbMATH Keywords

Newton methodmetric regularitydifferentiable multifunctiongeneralized equationgeneralized point-based approximations

Mathematics Subject Classification ID

Newton-type methods (49M15) Discrete approximations in optimal control (49M25)

Related Items (2)

On Newton's method for solving generalized equations ⋮ Newton's method for solving generalized equations without Lipschitz condition

Cites Work

• An inverse mapping theorem for \(H\)-differentiable set-valued maps
• On the Newton method for set-valued maps
• Implicit multifunction theorems with positively homogeneous maps
• Newton's method for generalized equations: a sequential implicit function theorem
• Prederivatives of convex set-valued maps and applications to set optimization problems
• Local convergence of some iterative methods for generalized equations.
• Stability of metric regularity with set-valued perturbations and application to Newton's method for solving generalized equations
• A Newton iteration for differentiable set-valued maps
• Approximations and generalized Newton methods
• Local convergence of quasi-Newton methods under metric regularity
• A general iterative procedure for solving nonsmooth generalized equations
• A superquadratic method for solving generalized equations in the Hölder case
• Generalized Differentiation with Positively Homogeneous Maps: Applications in Set-Valued Analysis and Metric Regularity
• Newton's Method for Solving Inclusions Using Set-Valued Approximations
• A point-of-attraction result for Newton's method with point-based approximations
• Metric Regularity of Newton's Iteration
• Implicit Functions and Solution Mappings
• Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
• Variational Analysis
• On a Newton Type Iterative Method for Solving Inclusions
• Inexact Newton Methods and Dennis--Moré Theorems for Nonsmooth Generalized Equations
• Set-valued Optimization
• Set-valued analysis
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