Scalar multiplier rules in set-valued optimization

DOI10.1016/j.camwa.2009.01.007zbMath1186.90102OpenAlexW2084109906MaRDI QIDQ971631

Miguel Sama, Luis Rodríguez-Marín, Elvira Hernández

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.01.007

zbMATH Keywords

Lagrange multipliersset-valued optimizationordered spacescontingent epiderivativesweak minimizers

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Programming in abstract spaces (90C48)

Related Items

The role of directional compactness in the existence and computation of contingent epiderivatives ⋮ Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps ⋮ Scalar Lagrange multiplier rules for set-valued problems in infinite-dimensional spaces ⋮ Scalarization of constraints system in some vector optimization problems and applications ⋮ A new penalization tool in scalar and vector optimizations ⋮ Higher-order tangent epiderivatives and applications to duality in set-valued optimization

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