The role of nonlinear scalarization functions in characterizing generalized convex vector functions
Journal of Applied and Numerical Optimization · 2019
The aim of this paper is to present new characterizations of cone-convex and explicitly cone-quasiconvex vector functions with respect to a proper closed solid convex cone of a real linear topological space.These characterizations are given in terms of classical convexity and explicit quasiconvexity of certain real-valued functions, defined by means of the nonlinear scalarization function introduced by Gerstewitz (Tammer) in 1983.