Characterization of R-evenly Quasiconvex functions

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

A function defined on a locally convex space is called evenly quasiconvex if its level sets are intersections of families of open halfspaces. Furthermore, if the closures of these open halfspaces do not contain the origin, then the function is called R-evenly quasiconvex. In this note, R-evenly quasiconvex functions are characterized as those evenly-quasiconvex functions that satisfy a certain simple relation with their lower semicontinuous hulls.
Original languageEnglish
Pages (from-to)717-722
JournalJournal of Optimization Theory and Applications
Volume95
DOIs
Publication statusPublished - 1 Jan 1997

Keywords

  • Duality
  • Generalized conjugation
  • Quasiconvex functions

Fingerprint Dive into the research topics of 'Characterization of R-evenly Quasiconvex functions'. Together they form a unique fingerprint.

Cite this