✦ LIBER ✦

Between quasi-convex and convex set-valued mappings

✍ Scribed by J Benoist; N Popovici

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 188 KB
Volume: 17
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(04)90058-4

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✦ Synopsis

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]. (~) 2004 Elsevier Ltd. All rights reserved.

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