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;
2007-01-01
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.File in questo prodotto:
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