Scalar representation and conjugation of set-valued functions

DOI10.1080/02331934.2012.741126zbMath1311.49044arXiv1011.5860OpenAlexW1981684141MaRDI QIDQ4981853

Carola Schrage

Publication date: 20 March 2015

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5860

zbMATH Keywords

set-valued functionFenchel-Rockafellar dualityLegendre-Fenchel conjugatebiconjugation theorem

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Duality theory (optimization) (49N15)

Related Items (max. 100)

Applying set optimization to weak efficiency ⋮ Set Relations via Families of Scalar Functions and Approximate Solutions in Set Optimization

Uses Software

• BENSOLVE

Cites Work

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• Vector Optimization with Infimum and Supremum
• A Fenchel–Rockafellar duality theorem for set-valued optimization
• Duality for Set-Valued Measures of Risk
• Quadratic optimal control problems for nonlinear damped second order systems in Hilbert spaces
• Optimization with set relations: conjugate duality

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