Abstract convexity in measure theory and in convex analysis.

DOI10.1023/A:1024033523973zbMath1074.28003OpenAlexW203736716MaRDI QIDQ1875005

Vladimir L. Levin

Publication date: 24 August 2004

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1024033523973

zbMATH Keywords

liftingabstract convexitymass transportation

Mathematics Subject Classification ID

Convex programming (90C25) Nonsmooth analysis (49J52) Variational problems in a geometric measure-theoretic setting (49Q20) Programming in abstract spaces (90C48) Lifting theory (28A51) Functional analytic lifting theory (46G15)

Related Items (6)

Global optimization of the difference of two increasing plus-convex-along-rays functions ⋮ Generalized positive sets and abstract monotonicity ⋮ Vector topical function, abstract convexity and image space analysis ⋮ Some criteria for maximal abstract monotonicity ⋮ Lipschitz minorants of Brownian motion and Lévy processes ⋮ Maximal abstract monotonicity and generalized Fenchel's conjugation formulas

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