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Calculus of second-order subdifferentials in infinite dimensions. (English) Zbl 1125.49306

Summary: We study two types of second-order subdifferentials of extended-real-valued functions on Banach spaces that are important for applications in variational analysis, especially to sensitivity issues and second-order optimality conditions. The main concern of the paper is to derive extended sum and chain rules for these subdifferentials in the case of Asplund and general Banach spaces, which provide the basis for further theory and applications.

MSC:

49J52 Nonsmooth analysis
90C48 Programming in abstract spaces
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