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First-Order Subdifferential Calculus

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Abstract

This chapter concerns generalized differential properties of extended-real-valued functions \(\varphi: \mathbb{R}^{n} \rightarrow \overline{\mathbb{R}}\) that are assumed, unless otherwise stated, to be lower semicontinuous around references points.

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Mordukhovich, B.S. (2018). First-Order Subdifferential Calculus. In: Variational Analysis and Applications. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-92775-6_4

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