Institute of Information Theory and Automation

You are here

Bibliography

Journal Article

Calculus for Directional Limiting Normal Cones and Subdifferentials

Benko M., Gfrerer H., Outrata Jiří

: Set-Valued and Variational Analysis vol.27, 3 (2019), p. 713-745

: GA17-04301S, GA ČR, GA17-08182S, GA ČR

: Generalized differential calculus, Directional limiting normal cone, Directional limiting subdifferential, Qualification conditions

: 10.1007/s11228-018-0492-5

: http://library.utia.cas.cz/separaty/2018/MTR/outrata-0493120.pdf

: https://link.springer.com/article/10.1007%2Fs11228-018-0492-5

(eng): The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions. This calculus encompasses the whole range of the standard generalized differential calculus for (non-directional) limiting notions and relies on very weak (non-restrictive) qualification conditions having also a directional character. The derived rules facilitate the application of tools exploiting the directional limiting notions to difficult problems of variational analysis including, for instance, various stability and sensitivity issues. This is illustrated by some selected applications in the last part of the paper.

: BA

: 10101

2019-01-07 08:39