We study functions whose directional derivatives can be written as a difference of two extended real-valued sublinear function (ds functions). The pair of convex sets obtained as the support functions of these sublinear functions is provided by a familiar equivalence relation and is considered as the bi-subdifferential of the function. We study calculus rules and give application to minimization problems.

Tangentially ds-functions

CAPRARI, ELISA;
2007

Abstract

We study functions whose directional derivatives can be written as a difference of two extended real-valued sublinear function (ds functions). The pair of convex sets obtained as the support functions of these sublinear functions is provided by a familiar equivalence relation and is considered as the bi-subdifferential of the function. We study calculus rules and give application to minimization problems.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11571/102731
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