Characterization of Lipschitz continuous DC functions

2012/01/09 by Hantoute, A., Martínez-Legaz, J. E.
#26B05 #49H05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1201.1759

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.

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