Duality principles for optimization problems dealing with the difference of vector-valued convex mappings

DOI10.1023/A:1015424423727zbMath1041.90068MaRDI QIDQ700772

Michel Volle

Publication date: 8 October 2002

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

subdifferentialsconvex analysisLegendre-Fenchel transform

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Duality theory (optimization) (49N15)

Related Items (10)

Some conjugation formulas and subdifferential formulas of convex analysis revisited ⋮ Duality for multiobjective optimization problems with convex objective functions and D.C. constraints ⋮ Some characterizations of duality for DC optimization with composite functions ⋮ Theorems of the alternative for multivalued mappings and applications to mixed convex \(\backslash\) concave systems of inequalities ⋮ Characterization and recognition of d.c. functions ⋮ Characterization of d.c. Functions in terms of quasidifferentials ⋮ Some new Farkas-type results for inequality systems with DC functions ⋮ New constraint qualification and conjugate duality for composed convex optimization problems ⋮ Multicriteria Optimal Control and Vectorial Hamilton-Jacobi Equation ⋮ Functional inequalities and theorems of the alternative involving composite functions

Cites Work

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• Sous-Différentiabilité de fonctions convexes à valeurs dans un espace vectoriel ordonné.

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