On several results about convex set functions

DOI10.1016/j.jmaa.2006.06.046zbMath1275.90074OpenAlexW2101690310MaRDI QIDQ864657

Constantin Zalinescu

Publication date: 12 February 2007

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.2006.06.046

zbMATH Keywords

subdifferentialconjugateM-convex functionatomless measure spacelsc convex hullM-convex set

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Fréchet and Gateaux differentiability in optimization (49J50) Programming in abstract spaces (90C48) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Optimality conditions for problems in abstract spaces (49K27)

Related Items (1)

Duality theorems for convex and quasiconvex set functions

Cites Work

• Optimal constrained selection of a measurable subset
• Duality in mathematical programming of set functions: On Fenchel duality theorem
• On multiple objective programming problems with set functions
• Epigraphs of convex set functions
• Moreau-Rockafellar type theorem for convex set functions
• Multiobjective duality without convexity
• Fenchel duality theorem in multiobjective programming problems with set functions
• The Fenchel-Moreau Theorem for Set Functions
• Saddle point and duality in the optimization theory of convex set functions
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