title: Optimality for set-valued optimization in the sense of vector and set criteria.
abstract: The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are established for the set-valued optimization problems. By using Studniarski derivatives, the necessary and sufficient optimality conditions are derived in the sense of vector and set optimization.
authors.affiliation: Institute of Applied Mathematics, Beifang University of Nationalities, Yinchuan, Ningxia 750021 P.R. China.
authors.forename: Xiangyu
authors.initials: X
authors.lastname: Kong
authors.affiliation: Institute of Applied Mathematics, Beifang University of Nationalities, Yinchuan, Ningxia 750021 P.R. China.
authors.forename: GuoLin
authors.initials: G
authors.lastname: Yu
authors.affiliation: Institute of Applied Mathematics, Beifang University of Nationalities, Yinchuan, Ningxia 750021 P.R. China.
authors.forename: Wei
authors.initials: W
authors.lastname: Liu
keywords: Studniarski derivative; optimality conditions; pseudoconvexity; set optimization; vector optimization