Lipschitz properties of nonsmooth functions and set-valued mappings via generalized differentiation

DOI10.1016/J.NA.2013.05.001zbMath1280.49025arXiv1302.1794OpenAlexW2086019078MaRDI QIDQ395388

Nguyen Mau Nam, Gerardo Lafferriere

Publication date: 29 January 2014

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

Full work available at URL: https://arxiv.org/abs/1302.1794

zbMATH Keywords

subdifferentialcoderivativeLipschitz propertygeneralized differentiationscalarization functionminimal time function

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Cites Work

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• Variational analysis of directional minimal time functions and applications to location problems
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• The subgradient formula for the minimal time function in the case of constant dynamics in Hilbert space
• Subdifferential properties for a class of minimal time functions with moving target sets in normed spaces
• Subgradients of Minimal Time Functions Under Minimal Requirements
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Lipschitz properties of the scalarization function and applications
• Lipschitzian properties of multifunctions
• Optimization and nonsmooth analysis
• Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
• Variational Analysis

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