Generalized Derivatives

Johannes Jahn
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Johannes Jahn: Universität Erlangen-Nürnberg, Institut für Angewandte Mathematik

Chapter Chapter 3 in Introduction to the Theory of Nonlinear Optimization, 1996, pp 33-79 from Springer

Abstract: Abstract In this chapter various customary concepts of a derivative are presented and its properties are discussed. The following notions are investigated: directional derivatives, Gâteaux and Fréchet derivatives, subdifferentials, quasidifferentials and Clarke derivatives. Moreover, simple optimality conditions are given which can be deduced in connection with these generalized derivatives.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-03271-8_3

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DOI: 10.1007/978-3-662-03271-8_3

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