Nonsmooth Analysis

Dumitru Motreanu, Viorica Venera Motreanu and Nikolaos Papageorgiou
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Dumitru Motreanu: University of Perpignan, Department of Mathematics
Viorica Venera Motreanu: Ben-Gurion University of the Negev, Department of Mathematics
Nikolaos Papageorgiou: National Technical University, Department of Mathematics

Chapter Chapter 3 in Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems, 2014, pp 45-59 from Springer

Abstract: Abstract This chapter offers a systematic presentation of nonsmooth analysis containing all that is necessary in this direction for the rest of the book. The first section of the chapter gathers significant results of convex analysis, especially related to the convex subdifferential such as its property of being a maximal monotone operator. The second section has as its main focus the subdifferentiability theory for locally Lipschitz functions. Further information and references are indicated in a remarks section.

Keywords: Banach Space; Convex Function; Maximal Monotone; Maximal Monotone Operator; Critical Point Theory (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-9323-5_3

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DOI: 10.1007/978-1-4614-9323-5_3

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