The aim of this paper is to present new characterizations of explicitly cone-quasiconvex vector functions with respect to a polyhedral cone of a finite-dimensional Euclidean space. These characterizations are given in terms of classical explicit quasiconvexity of certain real-valued functions, defined by composing the vector-valued function with appropriate scalarization functions, namely the extreme directions of the polar cone or some nonlinear scalarization functions, currently used in vector optimization.
C. Günther and N. Popovici: Characterizations of explicitly quasiconvex vector functions w.r.t. polyhedral cones. Journal of Nonlinear and Convex Analysis 20(12):2653-2665, 2019