New tour on the subdifferential of supremum via finite sums and suprema

DOI10.1007/s10957-021-01925-9zbMath1498.46077OpenAlexW3206232691MaRDI QIDQ2139244

Abderrahim Hantoute, Marco A. López

Publication date: 17 May 2022

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-021-01925-9

zbMATH Keywords

subdifferentialsnormal conessupremum of convex functions

Mathematics Subject Classification ID

Convex programming (90C25) Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Cites Work

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• Sequential formulae for the normal cone to sublevel sets
• Subdifferential Calculus Rules for Supremum Functions in Convex Analysis
• Subdifferential Calculus Rules in Convex Analysis: A Unifying Approach Via Pointwise Supremum Functions
• Directionally Lipschitzian Functions and Subdifferential Calculus
• Valadier-like formulas for the supremum function I
• Valadier-like formulas for the supremum function II: The compactly indexed case
• On the Subdifferential of the Supremum of Two Convex Functions.

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