Optimization by level set methods. IV: Generalizations and complements

DOI10.1080/01630568208816118zbMath0497.49022OpenAlexW2012136737MaRDI QIDQ3962066

Ivan Singer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/01630568208816118

zbMATH Keywords

level setsduality formulae

Mathematics Subject Classification ID

Duality theory for topological vector spaces (46A20) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (14)

A general theory of dual optimization problems ⋮ A general theory of surrogate dual and perturbational extended surrogate dual optimization problems ⋮ Level sets and the minimal time function of linear control processes ⋮ Dual representations of hulls for functions satisfyingf(0) = inff(X\{0})^* ⋮ A convex-like duality scheme for quasi-convex programs ⋮ Surrogate duality for vector optimization ⋮ Optimization by level set methods vi:generalizations of surrogate type reverse convex duality ⋮ The lower semi-continuous quasi-convex hull as a normalized second conjugate ⋮ Quasiconvex duality theory by generalized conjugation methods ⋮ A duality approach to minimax results for quasi-saddle functions in finite dimensions ⋮ Conjugate functionals and level sets ⋮ Some general Lagrangian duality theorems ⋮ Best approximation and optimization ⋮ Surrogate dual problems and surrogate Lagrangians

Cites Work

• On duality-separability-relations
• On $\Phi $-Convexity in Extremal Problems

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