Monotonic analysis over cones: III

J. Dutta, J. E. Martínez-Legaz, A. M. Rubinov

Research output: Contribution to journalArticleResearchpeer-review

13 Citations (Scopus)

Abstract

This paper studies the class of increasing and co-radiant (ICR) functions over a cone equipped with an order relation which agrees with the conic structure. In particular, a representation of ICR functions as abstract convex functions is provided. This representation suggests the introduction of some polarity notions between sets. The relationship between ICR functions and increasing positively homogeneous functions is also shown.
Original languageEnglish
Pages (from-to)561-579
JournalJournal of Convex Analysis
Volume15
Issue number3
Publication statusPublished - 7 Aug 2008

Keywords

  • Abstract convexity
  • Co-normal sets
  • Co-radiant sets
  • ICR functions
  • Monotonic analysis
  • Normal sets
  • Radiant sets

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