Dual representations of hulls for functions satisfyingf(0) = inff(X\{0})*

DOI10.1080/02331939908844437zbMath0938.49024OpenAlexW2081081003MaRDI QIDQ4265527

Ivan Singer

Publication date: 22 November 1999

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939908844437

zbMATH Keywords

generalized convexitydualitybipolar theoremgeneralized conjugationfunctional hullslower semi-continuous quasi-convex hulls

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Duality theory (optimization) (49N15) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

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• Quasiconjugates of functions, duality relationship between quasiconvex minimization under a reverse convex constraint and quasiconvex maximization under a convex constraint, and applications
• Some relations between dualities, polarities, coupling functionals, and conjugations
• Infimal generators and dualities between complete lattices
• The lower semi-continuous quasi-convex hull as a normalized second conjugate
• Optimization by level set methods. IV: Generalizations and complements
• Global Optimality Criterion and a Duality with a Zero Gap in Nonconvex Optimization
• Some characterizations of surrogate dual problems

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