Abstract cyclical monotonicity and Monge solutions for the general Monge-Kantorovich problem

DOI10.1023/A:1008753021652zbMath0934.54013OpenAlexW100888416MaRDI QIDQ1301318

Publication date: 10 April 2000

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008753021652

zbMATH Keywords

Monge-Kantorovich problem \(L\)-convex function \(L\)-cyclical monotonicity \(L\)-subdifferential measure preserving map

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Measures and integrals in product spaces (28A35) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Existence theories in calculus of variations and optimal control (49J99)

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