English

Characterization of Lipschitz continuous DC functions

Functional Analysis 2012-01-10 v1

Abstract

We give a necessary and sufficient condition for a difference of convex (DC, for short) functions, defined on a locally convex space, to be Lipschitz continuous. Our criterion relies on the intersections of the "epsilon-subdifferentials of the involved functions.

Keywords

Cite

@article{arxiv.1201.1759,
  title  = {Characterization of Lipschitz continuous DC functions},
  author = {A. Hantoute and J. E. Martínez-Legaz},
  journal= {arXiv preprint arXiv:1201.1759},
  year   = {2012}
}

Comments

7 pages

R2 v1 2026-06-21T20:02:01.547Z