On minimal convex pairs of convex compact sets

DOI10.1007/BF01195239zbMath0856.52001OpenAlexW2049481769MaRDI QIDQ1924974

Ryszard Urbański

Publication date: 27 October 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195239

zbMATH Keywords

quasidifferential calculusconvex minimal pairsconvex minimality

Mathematics Subject Classification ID

Nonlinear programming (90C30) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (5)

Reduced pairs of compact convex sets and ordered median functions ⋮ Decomposition of the polyhedron from Albrecht Dürer's ‘Melencolia I’ to a minimal pair of compact convex sets ⋮ Reduction of finite exhausters ⋮ Unnamed Item ⋮ On summands of closed bounded convex sets

Cites Work

• Minimal pairs of convex compact sets
• Reduction of quasidifferentials and minimal representations
• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• Minimal pairs of convex bodies in two dimensions
• Difference of compact sets in the sense of demyanov and its application to non-smooth analysis
• Some criteria for the minimality of pairs of compact convex sets
• An Embedding Theorem for Spaces of Convex Sets

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