Surrogate duality for vector optimization

DOI10.1080/01630568708816247zbMath0609.49012OpenAlexW2162318179WikidataQ57836432 ScholiaQ57836432MaRDI QIDQ3749657

Juan-Enrique Martinez-Legaz, Ivan Singer

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/01630568708816247

zbMATH Keywords

level setssaddle-point characterizationsurrogate dualitysurrogate Lagrangiansgeneralized half-spacesPareto-minimasurrogate subdifferentialsvector optimization problems with convex constraints

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Multiobjective variational problems, Pareto optimality, applications to economics, etc. (58E17)

Related Items

Lexicographical order, lexicographical index, and linear operators, Quasiconvex duality theory by generalized conjugation methods, Characterizations of efficient solutions under polyhedrality assumptions, Unnamed Item, Compatible preorders and linear operators on \({\mathbb{R}}^ n\)

Cites Work

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