Metric subregularity of order \(q\) and the solving of inclusions

DOI10.2478/s11533-010-0087-3zbMath1209.49053OpenAlexW1993962900MaRDI QIDQ632285

Michel H. Geoffroy, Michaël Gaydu, Célia Jean-Alexis

Publication date: 15 March 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0087-3

zbMATH Keywords

successive approximationscovering propertyvariational inclusionsHölder metric regularitycalmness of order \(q\)metric regularity of order \(q\)

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Regularity of solutions in optimal control (49N60)

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Cites Work

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• Some inverse mapping theorems
• Metric subregularity and the proximal point method
• An open mapping principle for set-valued maps
• Verifiable necessary and sufficient conditions for openness and regularity of set-valued and single-valued maps
• Newton's method for a class of nonsmooth functions
• Local behavior of an iterative framework for generalized equations with nonisolated solutions
• Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle
• Hölder metric regularity of set-valued maps
• Covering properties at positive-order rates of multifunctions and some related topics
• A general iterative procedure for solving nonsmooth generalized equations
• Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market
• Implicit Functions and Solution Mappings
• A Hummel–Seebeck type method for variational inclusions
• Metric regularity, openness and Lipschitzian behavior of multifunctions
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
• Engineering and Economic Applications of Complementarity Problems
• Metric regularity and subdifferential calculus
• Convergence of the Proximal Point Method for Metrically Regular Mappings