Fréchet quasidifferential calculus with applications to metric regularity of continuous maps

DOI10.1080/02331930500096171zbMath1088.49014OpenAlexW2007825875MaRDI QIDQ5317741

Amos Uderzo

Publication date: 21 September 2005

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930500096171

zbMATH Keywords

Ekeland variational principleAsplund spacesstrong slopelocal calmnessFréchet quasidifferentiable functionsmetric regularity criteria

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (6)

Maximal pairs of convex sets and Zalgaller's minimal representation of dc-functions ⋮ Metric regularity of quasidifferentiable mappings and optimality conditions for nonsmooth mathematical programming problems ⋮ A convergence analysis of the method of codifferential descent ⋮ Abstract convex approximations of nonsmooth functions ⋮ A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials ⋮ Error bounds and metric subregularity

Cites Work

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• \(G\)-semidifferentiability in Euclidean spaces
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• On the variational principle
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• Fréchet differentiability of convex functions
• Some mapping theorems
• On locally-Lipschitz quasi-differentiate functions in Banach-spaces
• A New Approach to Lagrange Multipliers
• Necessary conditions for extremality and separation theorems with applications to multiobjective optimization
• On semidifferentiable functions
• A survey of subdifferential calculus with applications
• Complete Characterizations of Global Optimality for Problems Involving the Pointwise Minimum of Sublinear Functions
• Conditions for an extremum in metric spaces

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