A cone separation theorem

M. I. Henig*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The notion of separation is extended here to include separation by a cone. It is shown that two closed cones, one of them acute and convex, can be strictly separated by a convex cone, if they have no point in common. As a matter of fact, an infinite number of convex closed acute cones can be constructed so that each of them is a separating cone.

Original languageEnglish
Pages (from-to)451-455
Number of pages5
JournalJournal of Optimization Theory and Applications
Volume36
Issue number3
DOIs
StatePublished - Mar 1982

Keywords

  • Convex analysis
  • cone analysis
  • multicriteria optimization
  • separation theorems

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