Exact calculus of Fréchet subdifferentials for Hadamard directionally differentiable functions

DOI10.1016/j.na.2007.06.015zbMath1143.49010OpenAlexW2062731812MaRDI QIDQ943658

Vera Roshchina

Publication date: 10 September 2008

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.2007.06.015

zbMATH Keywords

Fréchet subdifferentialcalculus of subdifferentialsupper exhausters

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50)

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A study of progressive hedging for stochastic integer programming ⋮ Outer limits of subdifferentials for min–max type functions

Cites Work

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• On Fréchet subdifferentials
• A dual representation for proper positively homogeneous functions
• On concepts of directional differentiability
• Relationships between upper exhausters and the basic subdifferential in variational analysis
• Exhausters, optimality conditions and related problems
• Reducing exhausters
• Exhausters af a positively homogeneous function^*
• Variational Analysis
• Variational Analysis and Generalized Differentiation I
• Exhausters and subdifferentials in non-smooth analysis

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