Min-sup-type zero duality gap properties for DC composite optimization problem

DOI10.1186/s13660-019-2141-4zbMath1499.90267OpenAlexW2960076030MaRDI QIDQ2067945

Li Ping Tian, Dong Hui Fang

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2141-4

zbMATH Keywords

constraint qualificationcomposite functionconic programmingDC functionzero duality gap property

Mathematics Subject Classification ID

Convex programming (90C25) Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46) Semi-infinite programming (90C34) Duality theory (optimization) (49N15)

Cites Work

• Duality and Farkas-type results for DC infinite programming with inequality constraints
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• Extended Farkas's lemmas and strong dualities for conic programming involving composite functions
• Stable zero Lagrange duality for DC conic programming
• The stable Farkas lemma for composite convex functions in infinite dimensional spaces
• On Zero Duality Gap and the Farkas Lemma for Conic Programming
• Duality in Vector Optimization
• Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming
• A new constraint qualification for the formula of the subdifferential of composed convex functions in infinite dimensional spaces
• A closedness condition and its applications to DC programs with convex constraints
• Variational Analysis and Generalized Differentiation I
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