Lagrangian conditions for approximate solutions on nonconvex set-valued optimization problems

DOI10.1007/s11590-012-0527-zzbMath1311.90175OpenAlexW1977185222MaRDI QIDQ395853

Xian-Jun Long, Jing Zeng, Xiao-bing Li

Publication date: 30 January 2014

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-012-0527-z

zbMATH Keywords

approximate solutionLagrangian conditionMordukhovich coderivativenonconvex set-valued optimization

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Programming in abstract spaces (90C48)

Related Items

Generic stability of the solution mapping for set-valued optimization problems ⋮ Optimality conditions of approximate solutions for nonsmooth semi-infinite programming problems ⋮ Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps ⋮ A note on approximate proper efficiency in linear fractional vector optimization ⋮ Approximate optimality conditions for composite convex optimization problems ⋮ Approximate quasi efficiency of set-valued optimization problems via weak subdifferential ⋮ Optimality conditions for composite DC infinite programming problems ⋮ Higher-order optimality conditions and duality for approximate solutions in non-convex set-valued optimization ⋮ Approximate solutions for nonconvex set-valued optimization and vector variational inequality

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