On the infimum of a quasiconvex function over an intersection. Application to the distance function

Juan Enrique Martínez-Legaz, Antonio Martinón

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

We give sufficient conditions for the infimum of a quasiconvex function f over the intersection i∈I Ri to agree with the supremum of the infima of f over the Ri's. We apply these results to the distance function in a normed space. © Heldermann Verlag.
Original languageEnglish
Pages (from-to)687-698
JournalJournal of Convex Analysis
Volume18
Issue number3
Publication statusPublished - 26 Aug 2011

Keywords

  • Distance to the intersection
  • Quasiconvex functions

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