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On midpoint convex set-valued functions

โœ Scribed by Kazimierz Nikodem


Publisher
Springer
Year
1987
Tongue
English
Weight
374 KB
Volume
33
Category
Article
ISSN
0001-9054

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Generalized convex set-valued maps
โœ Joรซl Benoist; Nicolae Popovici ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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