Characterization of Lipschitz Continuous Difference of Convex Functions

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Abstract

We give a necessary and sufficient condition for a difference of convex (DC, for short) functions, defined on a normed space, to be Lipschitz continuous. Our criterion relies on the intersection of the ε-subdifferentials of the involved functions. © 2013 Springer Science+Business Media New York.
Original languageEnglish
Pages (from-to)673-680
JournalJournal of Optimization Theory and Applications
Volume159
Issue number3
DOIs
Publication statusPublished - 1 Dec 2013

Keywords

  • ε-subdifferential
  • DC functions
  • Integration formulas
  • Lipschitz continuity

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