In: Mathematica Slovaca, vol. 63, no. 3
Dušan Bednařík - Karel Pastor
Detaily:
Rok, strany: 2013, 587 - 594
Kľúčové slová:
Calmness property, Clarke subdifferential, $C^{1,1}$ function, ${\ell}$-stable function, generalized second-order directional derivative
O článku:
The aim of the present paper is to compare various forms of stable properties of nonsmooth functions at some points. By stable property we mean the Lipschitz property of some generalized derivatives related only to the reference point. Namely we compare Lipschitz behaviour of lower Clarke derivative, lower Dini derivative and calmness of Clarke subdifferential. In this way, we continue our study of $\ell$-stable functions.
Ako citovať:
ISO 690:
Bednařík, D., Pastor, K. 2013. On Lipschitz behaviour of some generalized derivatives. In Mathematica Slovaca, vol. 63, no.3, pp. 587-594. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0120-7
APA:
Bednařík, D., Pastor, K. (2013). On Lipschitz behaviour of some generalized derivatives. Mathematica Slovaca, 63(3), 587-594. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0120-7
O vydaní: