Subdifferential set of the supremum of lower semi-continuous convex functions and the conical hull intersection property

DOI10.1007/BF02837568zbMath1120.52005MaRDI QIDQ997935

Abderrahim Hantoute

Publication date: 8 August 2007

Published in: Top (Search for Journal in Brave)

zbMATH Keywords

convex analysissupremum functionconical hull intersection property

Mathematics Subject Classification ID

Convex programming (90C25) Linear inequalities of matrices (15A39) Convex functions and convex programs in convex geometry (52A41)

Related Items (7)

New formulas for the Fenchel subdifferential of the conjugate function ⋮ Characterization of total ill-posedness in linear semi-infinite optimization ⋮ Valadier-like formulas for the supremum function I ⋮ Subdifferential of the supremum via compactification of the index set ⋮ 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

Cites Work

• Constrained best approximation in Hilbert space. II
• Directionally Lipschitzian Functions and Subdifferential Calculus
• Lagrangian Duality and Related Multiplier Methods for Variational Inequality Problems
• Subdifferential calculus without qualification conditions, using approximate subdifferentials: A survey
• Strong CHIP, normality, and linear regularity of convex sets
• Convex Analysis
• On the Subdifferential of the Supremum of Two Convex Functions.
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