Theorems of the alternative for set-valued functions in infinite-dimensional spaces

DOI10.1080/02331938908843428zbMath0676.90099OpenAlexW1971113618MaRDI QIDQ3832359

Oscar Ferrero

Publication date: 1989

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938908843428

zbMATH Keywords

Banach spacevariational problemstheorem of the alternative

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Set-valued maps in general topology (54C60) Programming in abstract spaces (90C48)

Related Items (10)

Connectedness of efficient solution sets for set-valued maps in normed spaces ⋮ Theorems of the alternative for multivalued mappings and applications to mixed convex \(\backslash\) concave systems of inequalities ⋮ KKT conditions for weak\(^\ast\) compact convex sets, theorems of the alternative, and optimality conditions ⋮ Theorems of the alternative for multifunctions. ⋮ Lagrangian multipliers for generalized affine and generalized convex vector optimization problems of set-valued maps ⋮ Benson proper efficiency in the vector optimization of set-valued maps ⋮ A theorem of the alternative and its application to the optimization of set-valued maps ⋮ Henig efficiency in vector optimization with nearly cone-subconvexlike set-valued functions ⋮ ε-Conjugate maps andε-conjugate duality in vector optimization with set-valued maps ⋮ Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem

Cites Work

• Reflexivity and the supremum of linear functionals
• Theorems of the alternative for multifunctions with applications to optimization: General results
• Theorems of the alternative and optimality conditions
• Multivalued convexity and optimization: A unified approach to inequality and equality constraints

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