Duality for closed convex functions and evenly convex functions

DOI10.1007/s10957-013-0395-4zbMath1361.90066OpenAlexW1991391296MaRDI QIDQ262010

Juan-Enrique Martinez-Legaz, Michel Volle, José Vicente-Pérez

Publication date: 29 March 2016

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

Full work available at URL: https://doi.org/10.1007/s10957-013-0395-4

zbMATH Keywords

evenly convex functionclosed convex functionMoreau conjugation

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items

Strong and total duality for constrained composed optimization via a coupling conjugation scheme, Evenly convex sets, and evenly quasiconvex functions, revisited, Even convexity, subdifferentiability, and {\(\Gamma\)}-regularization in general topological vector spaces

Cites Work

• The e-support function of an e-convex set and conjugacy for e-convex functions
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• Inf-convolution, sous-additivite, convexite des fonctions numériques
• Analyzing linear systems containing strict inequalities via evenly convex hulls
• Conjugacy in quasi-convex programming
• Exact quasiconvex conjugation
• What is quasiconvex analysis?
• On Quasi-Convex Duality
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