Subdifferential

Johannes Jahn ()
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Johannes Jahn: Universität Erlangen-Nürnberg

Chapter Chapter 16 in Vector Optimization, 2011, pp 411-421 from Springer

Abstract: 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.

Date: 2011
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DOI: 10.1007/978-3-642-17005-8_16

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