First-order optimality conditions for convex semi-infinite min-max programming with noncompact sets

DOI10.3934/jimo.2009.5.851zbMath1196.90121OpenAlexW2068566921MaRDI QIDQ2379825

Soon-Yi Wu, Chang-Yu Wang, Nai-Hua Xiu, Jin Chuan Zhou

Publication date: 22 March 2010

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2009.5.851

zbMATH Keywords

convex programmingsubdifferentialsemi-infinite programmingfirst-order optimality conditionsmin-max problemsubderivativesup-type functions

Mathematics Subject Classification ID

Convex programming (90C25) Optimality conditions and duality in mathematical programming (90C46) Semi-infinite programming (90C34)

Related Items (4)

Calculus rules of generalized \(\epsilon\)-subdifferential for vector valued mappings and applications ⋮ Saddle points theory of two classes of augmented Lagrangians and its applications to generalized semi-infinite programming ⋮ New differential properties of sup-type functions ⋮ Non-convex semi-infinite min-max optimization with noncompact sets

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