Volume 9, Number 2, August 2008, pp. 295-308
Olivier Lopez and Lionel Thibault
Key words:
Normal integrand, subdifferential, normal cone, conjugate function, integral functional
Mathematices Subject Classification: 26A51, 28B20, 49J24, 49J52, 58C06, 90C25
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Abstract:
The paper is devoted to the description of the subdifferential of continuous sum of convex functions on a Banach space. Without any qualification condition, general sequential formulas are established@when the Banach space is separable. It is also shown how results under qualification condition in the literature can be derived from sequential ones.
Sequential formula for subdifferential of integral sum of convex functions