Abstract

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)].

Author information

Contact details are reproduced from the original publication and may be historical.

Luigi Montrucchio

Collegio Carlo Alberto, Università di Torino, Via Real Collegio 30, 10024 Moncalieri, Italy

luigi.montrucchio@unito.it

Keywords

  • Convex analysis
  • asymptotic cones
  • recession cones
  • plastering property

Mathematics Subject Classification

65K, 90C

Suggested citation

M. Marinacci, L. Montrucchio. “Finitely Well-Positioned Sets.” Journal of Convex Analysis 19 (2012), No. 1, 249–279.

Copyright Heldermann Verlag 2012