Subdifferential Calculus Rules for Supremum Functions in Convex Analysis

DOI10.1137/100808344zbMath1243.49016OpenAlexW2071919366MaRDI QIDQ3105774

Chong Li, Ng Kung-fu

Publication date: 9 January 2012

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100808344

zbMATH Keywords

convex analysisconvex subdifferentialsupremum function

Mathematics Subject Classification ID

Convex programming (90C25) Nonsmooth analysis (49J52) Linear inequalities of matrices (15A39)

Related Items (11)

New tour on the subdifferential of supremum via finite sums and suprema ⋮ Conjugation-based approach to the \(\varepsilon\)-subdifferential of convex suprema ⋮ Formulae for the conjugate and the subdifferential of the supremum function ⋮ Moreau--Rockafellar-Type Formulas for the Subdifferential of the Supremum Function ⋮ Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings ⋮ A general representation of \(\delta\)-normal sets to sublevels of convex functions ⋮ Valadier-like formulas for the supremum function I ⋮ Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus ⋮ Valadier-like formulas for the supremum function II: The compactly indexed case ⋮ Towards Supremum-Sum Subdifferential Calculus Free of Qualification Conditions ⋮ Subdifferential Formulae for the Supremum of an Arbitrary Family of Functions

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