Iterative solving of generalized equations with calm solution mappings

DOI10.1016/j.jmaa.2004.06.070zbMath1084.47055OpenAlexW2016314616MaRDI QIDQ819644

Michel H. Geoffroy

Publication date: 29 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.070

zbMATH Keywords

set-valued mappingssuperlinear convergencecalmness

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04)

Cites Work

• Newton's method for a class of nonsmooth functions
• Local behavior of an iterative framework for generalized equations with nonisolated solutions
• Local convergence of some iterative methods for generalized equations.
• Regularity and conditioning of solution mappings in variational analysis
• Strongly Regular Generalized Equations
• Some continuity properties of polyhedral multifunctions
• Normal Maps Induced by Linear Transformations
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
• Variational Analysis
• Engineering and Economic Applications of Complementarity Problems
• Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Set-valued analysis
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