Zhu, Qin; Xu, Yihong; Wang, Tao A generalized higher-order optimality condition for super efficient solutions. (Chinese. English summary) Zbl 1265.90334 J. Shandong Univ., Nat. Sci. 46, No. 11, 101-104, 116 (2011). 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 Keywords:super-efficient solution; generalized \(m\)th-order contingent derivative; set-valued optimization PDF BibTeX XML Cite \textit{Q. Zhu} et al., J. Shandong Univ., Nat. Sci. 46, No. 11, 101--104, 116 (2011; Zbl 1265.90334)