Geodesic
Formulas for Subdifferentials of Sums of Convex Functions
Journal of convex analysis, Tome 9 (2002) no. 2, pp. 519-533.

Voir la notice de l'article provenant de la source Heldermann Verlag

We discuss various formulas for the subdifferential of the sum of lower semicontinuous convex functions given in terms of certain topological closure operations on the sum of the subdifferentials of each function. We show how the accuracy of the formulas expressed by the closure operations can be improved when additional assumptions on the family of functions are available.
Classification : 52A41, 26E15, 49J52
Mots-clés : Subdifferential, convex function, fuzzy sum rule, qualification condition, nonsmooth analysis 
@article{JCA_2002_9_2_JCA_2002_9_2_a11,
     author = {F. Jules and M. Lassonde},
     title = {Formulas for {Subdifferentials} of {Sums} of {Convex} {Functions}},
     journal = {Journal of convex analysis},
     pages = {519--533},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2002},
     url = {http://geodesic.mathdoc.fr/item/JCA_2002_9_2_JCA_2002_9_2_a11/}
}
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F. Jules; M. Lassonde. Formulas for Subdifferentials of Sums of Convex Functions. Journal of convex analysis, Tome 9 (2002) no. 2, pp. 519-533. http://geodesic.mathdoc.fr/item/JCA_2002_9_2_JCA_2002_9_2_a11/