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.

Contact details are reproduced from the original publication and may be historical.

Florence Jules

Dép. de Mathématiques, Université des Antilles et de la Guyane, 97159 Pointe à Pitre, Guadaloupe, France

fjules@univ-ag.fr

Marc Lassonde

Dép. des Mathématiques, Université des Antilles et de la Guyane, 97159 Pointe à Pitre, Guadaloupe, France

lassonde@univ-ag.fr

F. Jules, M. Lassonde. “Formulas for Subdifferentials of Sums of Convex Functions.” Journal of Convex Analysis 9 (2002), No. 2, 519–533.