Some criteria for the minimality of pairs of compact convex sets

DOI10.1007/BF01414153zbMath0781.49011OpenAlexW2045851581MaRDI QIDQ5286753

Diethard Pallaschke, Ryszard Urbański

Publication date: 23 August 1993

Published in: ZOR - Methods and Models of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01414153

zbMATH Keywords

Minkowski additionquasidifferential calculusminimality criteriapairs of compact convex setsinclusion minimal representants

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (8)

Reduction of quasidifferentials and minimal representations ⋮ Minimal and reduced pairs of convex bodies ⋮ On minimal convex pairs of convex compact sets ⋮ Research on adjoint kernelled quasidifferential ⋮ On convex class of pairs of convex bodies ⋮ Constrained nonsmooth problems of the calculus of variations ⋮ A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials ⋮ Three criteria of minimality for pairs of compact convex sets

Cites Work

• Unnamed Item
• Extremal structure of convex sets. II
• Eine Charakterisierung von Summanden konvexer Körper
• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• Difference of compact sets in the sense of demyanov and its application to non-smooth analysis
• An Embedding Theorem for Spaces of Convex Sets

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