Sequential subdifferential for multi-composed functions via perturbation approach

DOI10.1007/s12215-022-00744-9OpenAlexW4229001741MaRDI QIDQ2695259

I. Dali, Mohamed Laghdir, M. B. Moustaid

Publication date: 30 March 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00744-9

zbMATH Keywords

perturbation functionfractional programming problemsmulti-composed functionssequential subdifferential

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Fractional programming (90C32) Perturbation theory of linear operators (47A55)

Cites Work

• Duality results for nonlinear single minimax location problems via multi-composed optimization
• Simple bilevel programming and extensions
• A Lagrange duality approach for multi-composed optimization problems
• A proximal method for solving nonlinear minmax location problems with perturbed minimal time functions via conjugate duality
• Sequential optimality conditions for composed convex optimization problems
• Duality results for extended multifacility location problems
• Sequential Convex Subdifferential Calculus and Sequential Lagrange Multipliers
• New Sequential Lagrange Multiplier Conditions Characterizing Optimality without Constraint Qualification for Convex Programs
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