Between quasi-convex and convex set-valued mappings

被引：5

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：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 03期

关键词：

generalized convexity; set-valued mappings;

D O I：

10.1016/S0893-9659(04)90058-4

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 give sufficient conditions for a quasi-convex set-valued mapping to be convex. In particular, we recover several known characterizations of convex real-valued functions, given in terms of quasiconvexity and Jensen-type convexity by Nikodem [1], Behringer [2], and Yang, Teo and Yang [3]. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：245 / 247

页数：3

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