On Constraint Qualification for an Infinite System of Convex Inequalities in a Banach Space

DOI10.1137/S1052623403434693zbMath1114.90142OpenAlexW2008602023MaRDI QIDQ5317508

Chong Li, Ng Kung-fu

Publication date: 16 September 2005

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1052623403434693

zbMATH Keywords

best approximationoptimality conditionSlater conditionbasic constraint qualificationsystem of convex inequalitiesMFCQPLV property

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Semi-infinite programming (90C34) Approximation with constraints (41A29)

Related Items (15)

Constraint qualifications in convex vector semi-infinite optimization ⋮ On basic constraint qualifications for infinite system of convex Inequalities in Banach spaces ⋮ An extension of the basic constraint qualification to nonconvex vector optimization problems ⋮ Total Lagrange duality for DC infinite optimization problems ⋮ New regularity conditions for strong and total Fenchel-Lagrange duality in infinite dimensional spaces ⋮ On strong and total Lagrange duality for convex optimization problems ⋮ New Farkas-type constraint qualifications in convex infinite programming ⋮ Constraint qualifications for optimality conditions and total Lagrange dualities in convex infinite programming ⋮ Asymptotic optimality conditions for linear semi-infinite programming ⋮ On constraint qualifications of a nonconvex inequality ⋮ Necessary optimality conditions for countably infinite Lipschitz problems with equality constraint mappings ⋮ Lagrange multiplier characterizations of constrained best approximation with infinite constraints ⋮ The FM and BCQ Qualifications for Inequality Systems of Convex Functions in Normed Linear Spaces ⋮ Optimality conditions of Fenchel-Lagrange duality and Farkas-type results for composite DC infinite programs ⋮ On best restricted range approximation in continuous complex-valued function spaces

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