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.
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© 1996 Springer-Verlag Berlin Heidelberg
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Jahn, J. (1996). Generalized Derivatives. In: Introduction to the Theory of Nonlinear Optimization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03271-8_3
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DOI: https://doi.org/10.1007/978-3-662-03271-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-03273-2
Online ISBN: 978-3-662-03271-8
eBook Packages: Springer Book Archive