Subdifferential of the supremum via compactification of the index set

DOI10.1007/s10013-020-00403-5zbMath1475.46068OpenAlexW3022157057MaRDI QIDQ2022436

Marco A. López, Abderrahim Hantoute, Rafael Correa

Publication date: 29 April 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/173303

zbMATH Keywords

optimality conditionssubdifferentialsStone-Čech compactificationconvex semi-infinite programmingsupremum 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)

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Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings ⋮ Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus ⋮ Unified robust necessary optimality conditions for nonconvex nonsmooth uncertain multiobjective optimization

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