On Lipschitz behaviour of some generalized derivatives |
| |
Authors: | Dušan Bednařík Karel Pastor |
| |
Institution: | 1120. Department of Mathematics, Faculty of Science, Rokitanského 62, CZ-500 03, Hradec Králové, Czech Republic 2120. Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacky University, 17. listopadu 12, CZ-771 46, Olomouc, Czech Republic
|
| |
Abstract: | 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 λ-stable functions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|