Even convexity, subdifferentiability, and {\(\Gamma\)}-regularization in general topological vector spaces

DOI10.1016/j.jmaa.2015.04.051zbMath1323.90078OpenAlexW2053884918MaRDI QIDQ2347424

José Vicente-Pérez, Michel Volle

Publication date: 27 May 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.04.051

zbMATH Keywords

subdifferential{\(\Gamma\)}-regularizationevenly convex hullstrict epigraph

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items (3)

Evenly convex sets, and evenly quasiconvex functions, revisited ⋮ On epsilon-stability in optimization ⋮ New duality results for evenly convex optimization problems

Cites Work

• Duality for closed convex functions and evenly convex functions
• The e-support function of an e-convex set and conjugacy for e-convex functions
• Conjugate duality in convex optimization
• Conjugaison par tranches
• Characterizations of evenly convex sets and evenly quasiconvex functions
• On linear systems containing strict inequalities
• Infimal convolution, \( c \)-subdifferentiability, and Fenchel duality in evenly convex optimization
• Inf-convolution, sous-additivite, convexite des fonctions numériques
• Analyzing linear systems containing strict inequalities via evenly convex hulls
• Conjugacy in quasi-convex programming
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