Invertibility of functional Galois connections

DOI10.1016/S1631-073X(02)02594-3zbMath1022.06001OpenAlexW2073051433MaRDI QIDQ1565890

Stéphane Gaubert, Marianne Akian, Vassili N. Kolokol'tsov

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02594-3

zbMATH Keywords

covering theoremgeneralized subdifferentialsdual Galois connectionsfunctional Galois connectionslattices of functionsmax-plus linear equationsMoreau conjugacy

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (7)

Constant along primal rays conjugacies and the l₀ pseudonorm ⋮ Generalized Lax-Hopf Formulas for Cournot Maps and Hamilton-Jacobi-McKendrick Equations ⋮ Capra-convexity, convex factorization and variational formulations for the \(\ell_0\) pseudonorm ⋮ Duality and separation theorems in idempotent semimodules. ⋮ Unnamed Item ⋮ Invertibility of functional Galois connections ⋮ Comparison and classification of linear systems over idempotent semirings inspired by total positivity

Cites Work

• Strong regularity of matrices -- a survey of results
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Invertibility of functional Galois connections
• Simple image set of (max,+) linear mappings
• Quasi-continuity
• Further Applications of the Additive Min-type Coupling Function
• Densities of idempotent measures and large deviations
• Variational Analysis
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