Characterization of Lipschitz continuous DC functions

Details Characterization of Lipschitz continuous DC functions Characterization of Lipschitz continuous DC functions

2012-01-09

arxiv.org/abs/1201.1759v1

Mathematics

Functional Analysis

7 pages

Scientific paper

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.

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