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