Prépublication du DMI numéro 01-01 (25/04/2002)
Formulas for subdifferentials of sums of convex functions
JULES, Florence
- Laboratoire A.O.C., Université des Antilles et de la
Guyane, Pointe-à-Pitre, F-97159 cedex
LASSONDE, Marc -
Laboratoire A.O.C., Université des Antilles et
de la Guyane, Pointe-à-Pitre, F-97159 cedex
Mots
Clés :
Subdifferential, convex function,
fuzzy sum rule, qualification condition, nonsmooth analysis.
Classification MSC :
52A41, 26E15, 49J52
Abstract : -
We discuss various formulas for the subdifferential of the sum
of l.s.c. 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.
Article :
Postscript compressé [100 K] -
DVI [69 K] -
PDF [220 K].
Contact :
Florence.Jules@univ-ag.fr