Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 2653-2665 |
| Seitenumfang | 13 |
| Fachzeitschrift | Journal of Nonlinear and Convex Analysis |
| Jahrgang | 20 |
| Ausgabenummer | 12 |
| Publikationsstatus | Veröffentlicht - 2019 |
| Extern publiziert | Ja |
Abstract
The aim of this paper is to present new characterizations of explic¬itly 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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Steuerung und Optimierung
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Angewandte Mathematik
- Mathematik (insg.)
- Geometrie und Topologie
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in: Journal of Nonlinear and Convex Analysis, Jahrgang 20, Nr. 12, 2019, S. 2653-2665.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Characterizations of explicitly quasiconvex vector functions w.r.t. polyhedral cones
AU - Günther, Christian
AU - Popovici, Nicolae
N1 - Publisher Copyright: © 2019 Yokohama Publications. All rights reserved.
PY - 2019
Y1 - 2019
N2 - The aim of this paper is to present new characterizations of explic¬itly 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.
AB - The aim of this paper is to present new characterizations of explic¬itly 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.
KW - Extreme direc¬tions
KW - Generalized convex vector functions
KW - Nonlinear scalarization function
KW - Polyhedral cones
UR - http://www.scopus.com/inward/record.url?scp=85090791484&partnerID=8YFLogxK
M3 - Article
VL - 20
SP - 2653
EP - 2665
JO - Journal of Nonlinear and Convex Analysis
JF - Journal of Nonlinear and Convex Analysis
SN - 1345-4773
IS - 12
ER -