Vectorial D.C. functions. (Fonctions D.C. vectorielles.) (French. English summary) Zbl 1197.49010

El Hilali Alaoui, A.; Lafhim, L.; Metrane, A.

Math-Rech. Appl. 6, 37-55 (2004).

Summary: At first, under assumption checked in certain problems, we show that any continuous mapping which can be written as Difference of Convex mappings (D.C. mapping) admits a continuous decomposition, and on the other hand, we prove a result of integration of a mapping, and then we characterize a D.C. locally Lipschitz mappings in terms of vector subdifferential of continuous convex mappings.

MSC:

49J52	Nonsmooth analysis
49N15	Duality theory (optimization)

Keywords:

continuous mapping; difference of convex mappings; D.C. mapping; D.C. locally Lipschitz mappings; vector subdifferential