Characterization of R-evenly Quasiconvex functions

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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
Publication statusPublished - 1 Jan 1997


  • Duality
  • Generalized conjugation
  • Quasiconvex functions


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