The role of nonlinear scalarization functions in characterizing generalized convex vector functions

作     者：Günther, Christian Popovici, Nicolae 

作者机构：Faculty of Natural Sciences III Institute of Informatics Martin Luther University Halle-Wittenberg Halle Germany Faculty of Natural Sciences II Institute of Mathematics Martin Luther University Halle-Wittenberg Halle Germany Faculty of Mathematics and Computer Science Babeş-Bolyai University Cluj-Napoca400084 Romania 

出 版 物：《Journal of Applied and Numerical Optimization》 (J. Appl. Numer. Optim.)

年 卷 期：2019年第1卷第3期

页      面：325-333页

核心收录：

基　　金：Nicolae Popovici’s research was partially supported by a grant of the Romanian Ministry of Research and Innovation  CNCS-UEFISCDI  project number PN-III-P4-ID-PCE-2016-0190  within PNCDI III 

主　　题：Cones 

摘      要：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. © 2019 Journal of Applied and Numerical Optimization.