Dual characterizations of the set containments with strict cone-convex inequalities in Banach spaces

DOI10.1007/s10898-008-9337-3zbMath1182.90096OpenAlexW2042303268MaRDI QIDQ2271148

A. R. Doagooei, Hossein Mohebi

Publication date: 6 August 2009

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

Full work available at URL: https://doi.org/10.1007/s10898-008-9337-3

zbMATH Keywords

convex functionsexistence theoremdual cone

Mathematics Subject Classification ID

Programming in abstract spaces (90C48) Eigenvalues, singular values, and eigenvectors (15A18) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Variational methods for eigenvalues of operators (49R05)

Related Items (6)

Dual characterizations of set containments involving uncertain polyhedral sets in Banach spaces with applications ⋮ Continuity of cone-convex functions ⋮ Farkas-type theorems for positively homogeneous systems in ordered topological vector spaces ⋮ Farkas-Type Theorems and Applications: From IPH Functions to ICR Functions ⋮ Vector topical functions and Farkas type theorems with applications ⋮ On set containment characterizations for sets described by set-valued maps with applications

Cites Work

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• Set containment characterization
• Dual characterizations of set containments with strict convex inequalities
• Characterizations of solution sets of convex vector minimization problems
• Characterizing Set Containments Involving Infinite Convex Constraints and Reverse-Convex Constraints
• Asymptotic conditions for weak and proper optimality in infinite dimensional convex vector optimization

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