Minimal pairs of compact convex sets

• Autorzy: Diethard Pallaschke , Ryszard Urbański
• Języki publikacji: EN

Abstrakty

EN

Pairs of compact convex sets naturally arise in quasidifferential calculus as sub- and superdifferentials of a quasidifferentiable function (see Dem86). Since the sub- and superdifferentials are not uniquely determined, minimal representations are of special importance. In this paper we give a survey on some recent results on minimal pairs of closed bounded convex sets in a topological vector space (see PALURB). Particular attention is paid to the problem of characterizing minimal representatives of a pair of nonempty compact convex subsets of a locally convex topological vector space in the sense of the Rådström-Hörmander theory.

Kategorie tematyczne

• 26A27: Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
• 90C30: Nonlinear programming

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 64
• Numer: 1
• Strony: 147-158

Daty

wydano

2004

Twórcy

autor

Diethard Pallaschke

• Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Kaiserstr. 12, D-76128 Karlsruhe, Germany

autor

Ryszard Urbański

• Wydział Matematyki i Informatyki, Uniwersytet im. Adama, Mickiewicza Umultowska 87, PL-61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/bc64-0-13