Abstract
There are different possibilities to introduce subgradients of set-valued maps. One possible approach is a generalization of the standard definition known from convex analysis (see also Definition 2.21). Another approach is based on a characterization of the subdifferential using directional derivatives (e.g., see [164, Lemma 3.25]). Instead of the directional derivative we now use the contingent epiderivative. Both approaches are presented in this chapter.
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© 2011 Springer-Verlag Berlin Heidelberg
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Jahn, J. (2011). Subdifferential. In: Vector Optimization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17005-8_16
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DOI: https://doi.org/10.1007/978-3-642-17005-8_16
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