Characterizations of convex and quasiconvex set-valued maps

被引：32

作者：

Benoist, J ^{[1
]}

Popovici, N

机构：

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

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

来源：

MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 2003年 / 57卷 / 03期

关键词：

generalized convex set-valued maps; scalarization; polar cones;

D O I：

10.1007/s001860200260

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The aim of this paper is to characterize in terms of classical convexity and quasiconvexity of extended real-valued functions those set-valued maps which are K-convex or K-quasiconvex with respect to a convex cone K. In particular, we recover some known characterizations of K-convex and K-quasiconvex vector-valued functions.

引用

页码：427 / 435

页数：9

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