A characterization of quasiconvex vector-valued functions

被引：43

作者：

Benoist, J ^{[1
]}

Borwein, JM

Popovici, N

机构：

[1] Univ Limoges, Dept Math, LACO, UPRESSA 6090, F-87060 Limoges, France

[2] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada

[3] Univ Babes Bolyai, Fac Math & Comp Sci, R-3400 Cluj Napoca, Romania

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 04期

关键词：

quasiconvex vector-valued functions; scalarization; polar cones;

D O I：

10.1090/S0002-9939-02-06761-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functions which are K-quasiconvex with respect to a closed convex cone K in a Banach space. Our main result extends a well-known characterization of K-quasiconvexity by means of extreme directions of the polar cone of K, obtained by Dinh The Luc in the particular case when K is a polyhedral cone generated by exactly n linearly independent vectors in the Euclidean space R(n).

引用

页码：1109 / 1113

页数：5

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