an:05788627
Zbl 1197.49010
El Hilali Alaoui, A.; Lafhim, L.; Metrane, A.
Vectorial D.C. functions
FR
Math-Rech. Appl. 6, 37-55 (2004).
00258996
2004
j
49J52 49N15
continuous mapping; difference of convex mappings; D.C. mapping; D.C. locally Lipschitz mappings; vector subdifferential
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.