CHARACTERIZATIONS OF PREINVEX AND PREQUASIINVEX SET-VALUED MAPS
T. Jabarootian, J. Zafarani · Taiwanese Journal of Mathematics · 2009
The purpose of this paper is to characterize in terms of scalar preinvexity (resp. prequasiinvexity) the set-valued maps which are K-preinvex (resp. K-prequasiinvex) with respect to a closed convex cone K. Moreover, as applications of our results some conditions under which a local solution of set-valued scalar optimization for (VP) is a global supper efficient solution for (VP) are given.