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Generalized Sequential Differential Calculus for Expected-Integral Functionals

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arxiv 2009.12492 v4 pith:SAZU7V4V submitted 2020-09-26 math.OC

Boris S. Mordukhovich , Pedro Pérez-Aros This is my paper · ORCID
classification math.OC
keywords expected-integralfunctionalssequentialanalysisapplicationsappropriatecalculusdecision
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Motivated by applications to stochastic programming, we introduce and study the expected-integral functionals, which are mappings given in an integral form depending on two variables, the first a finite dimensional decision vector and the second one an integrable function. The main goal of this paper is to establish sequential versions of Leibniz's rule for regular subgradients by employing and developing appropriate tools of variational analysis.

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