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In this chapter, we revisit some definitions and results in nonsmooth analysis that are instrumental in subsequent chapters, introducing some basic mathematical concepts utilized in this book. For a more comprehensive and thorough treatment, we refer readers to the monographs by Clarke (Optimization and Nonsmooth Analysis, Volume 5 of Classics in Applied Mathematics, 2nd edn. Society for Industrial and Applied Mathematics (SIAM). Philadelphia, PA, 1990), Rockafellar and Wets (Variational Analysis, Volume 317 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer, Berlin, 1998), Vinter (Optimal Control. Birkhäuser, Boston, MA, 2000) and the references at the end of this section, where they can delve deeper into the topics briefly touched upon here.

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Preliminaries on Nonsmooth Analysis

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  • 发表日期：

    2026年

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  • Vincenzo Basco

摘要

In this chapter, we revisit some definitions and results in nonsmooth analysis that are instrumental in subsequent chapters, introducing some basic mathematical concepts utilized in this book. For a more comprehensive and thorough treatment, we refer readers to the monographs by Clarke (Optimization and Nonsmooth Analysis, Volume 5 of Classics in Applied Mathematics, 2nd edn. Society for Industrial and Applied Mathematics (SIAM). Philadelphia, PA, 1990), Rockafellar and Wets (Variational Analysis, Volume 317 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer, Berlin, 1998), Vinter (Optimal Control. Birkhäuser, Boston, MA, 2000) and the references at the end of this section, where they can delve deeper into the topics briefly touched upon here.