×

zbMATH — the first resource for mathematics

A generalized higher-order optimality condition for super efficient solutions. (Chinese. English summary) Zbl 1265.90334
Summary: The super-efficient solution of set-valued optimization is considered in real normed spaces. For a specific set, its super efficient points set is obtained by direct calculation. Without any convexity assumption, by employing the Henig dilating cone, the generalized higher-order derivative necessary condition is established for set-valued optimization problems to attain its super-efficient solutions.
MSC:
90C46 Optimality conditions and duality in mathematical programming
49J53 Set-valued and variational analysis
PDF BibTeX XML Cite