Duality for almost convex optimization problems via the perturbation approach

DOI10.1007/s10898-008-9300-3zbMath1189.90118OpenAlexW2053671651MaRDI QIDQ956598

Gert Wanka, Radu Ioan Boţ, Gábor Kassay

Publication date: 25 November 2008

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-008-9300-3

zbMATH Keywords

dualityconjugate functionsperturbation approachalmost convex setsalmost convex functions

Mathematics Subject Classification ID

Convex programming (90C25) Optimality conditions and duality in mathematical programming (90C46) Duality theory (optimization) (49N15) Convexity of real functions in one variable, generalizations (26A51) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (13)

Unnamed Item ⋮ On the Range of the Douglas–Rachford Operator ⋮ A perturbation approach to vector optimization problems: Lagrange and Fenchel-Lagrange duality ⋮ Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions ⋮ Near equality, near convexity, sums of maximally monotone operators, and averages of firmly nonexpansive mappings ⋮ Unnamed Item ⋮ Primal or dual strong-duality in nonconvex optimization and a class of quasiconvex problems having zero duality gap ⋮ Necessary optimality conditions for vector reverse convex minimization problems via a conjugate duality ⋮ An extended conjugate duality for generalized semi-infinite programming problems via a convex decomposition ⋮ Variational analysis on the signed distance functions ⋮ Wolfe duality and Mond-Weir duality via perturbations ⋮ Unnamed Item ⋮ An Extended Fenchel--Lagrange Duality Approach and Optimality Conditions for Strong Bilevel Programming Problems

Cites Work

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• Lagrangian duality and cone convexlike functions
• Convex Analysis
• Uses of Generalized Convexity and Generalized Monotonicity in Economics
• On Quasi-Convex Duality

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