A Newton-like method for nonsmooth variational inequalities

DOI10.1016/j.na.2010.01.022zbMath1188.65090OpenAlexW1987723573MaRDI QIDQ960909

Ioannis K. Argyros, Saïd Hilout

Publication date: 29 March 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.01.022

zbMATH Keywords

set-valued mapsvariational inequalitiesNewton-like methodlinear convergenceAubin-like propertyslant differentiability

Mathematics Subject Classification ID

Variational inequalities (49J40) Newton-type methods (49M15) Set-valued operators (47H04) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)

Related Items (1)

Convergence of inexact Newton methods for generalized equations

Cites Work

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• Lipschitzian properties of multifunctions
• Generalized equations and their solutions, Part I: Basic theory
• An Inverse Mapping Theorem for Set-Valued Maps
• Variational Analysis
• Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
• Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
• Set-valued analysis

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