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Characterizations of convex and quasiconvex set-valued maps

✍ Scribed by Joël Benoist; Nicolae Popovici


Publisher
Springer
Year
2003
Tongue
English
Weight
222 KB
Volume
57
Category
Article
ISSN
0340-9422

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📜 SIMILAR VOLUMES


Generalized convex set-valued maps
✍ Joël Benoist; Nicolae Popovici 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 164 KB

The aim of this paper is to show that under a mild semicontinuity assumption (the so-called segmentary epi-closedness), the cone-convex (respectively, cone-quasiconvex) set-valued maps can be characterized in terms of weak cone-convexity (respectively, weak cone-quasiconvexity), i.e., the notions ob

Between quasi-convex and convex set-valu
✍ J Benoist; N Popovici 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 188 KB

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, Te

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