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Journal of Convex Analysis 19 (2012), No. 1, 249--279
Copyright Heldermann Verlag 2012

Finitely Well-Positioned Sets

Massimo Marinacci
Department of Decision Sciences and Igier, UniversitÓ Bocconi, Via Sarfatti 25, 20136 Milano, Italy

Luigi Montrucchio
Collegio Carlo Alberto, UniversitÓ di Torino, Via Real Collegio 30, 10024 Moncalieri, Italy

We introduce and study finitely well-positioned sets, a class of asymptotically "narrow" sets that generalize the well-positioned sets recently investigated by S. Adly, E. Ernst and M. Thera [Commun. Contemp. Math. 4 (2001) 145-160; J. Global Optim. 29 (2004) 337-351], as well as the plastering property of M. A. Krasnoselskii ["Positive solutions of operator equations", Noordhoff, Groningen (1964)].

Keywords: Convex analysis, asymptotic cones, recession cones, plastering property.

MSC: 65K, 90C

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