Non-Convex Strong Duality Via Subdifferential

DOI10.1080/01630563.2014.912056zbMath1296.49031OpenAlexW1990744654MaRDI QIDQ2877742

Antonino Maugeri, Daniele Puglisi

Publication date: 25 August 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.912056

zbMATH Keywords

subdifferentialstrong dualityelastic-plastic problembi-obstacle problemcontinuum model of transportation

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Duality theory (optimization) (49N15)

Related Items (6)

New existence theorems for quasi-variational inequalities and applications to financial models ⋮ Lagrange multipliers and non-constant gradient constrained problem ⋮ On higher-order mixed duality in set-valued optimization ⋮ On the use of the quasi-relative interior in optimization ⋮ A generalization of multiplier rules for infinite-dimensional optimization problems ⋮ Lagrange multipliers in elastic-plastic torsion problem for nonlinear monotone operators

Cites Work

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• The infinite dimensional Lagrange multiplier rule for convex optimization problems
• Revisiting some duality theorems via the quasirelative interior in convex optimization
• Remarks on infinite dimensional duality
• A new necessary and sufficient condition for the strong duality and the infinite dimensional Lagrange multiplier rule
• General infinite dimensional duality and applications to evolutionary network equilibrium problems
• Infinite dimensional duality and applications
• Duality theory for the dynamic oligopolistic market equilibrium problem

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