- Title
- Calculus for directional limiting normal cones and subdifferentials
- Creator
- Benko, Matúš; Gfrerer, Helmut; Outrata, Jiri
- Date
- 2019
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/170519
- Identifier
- vital:14132
- Identifier
-
https://doi.org/10.1007/s11228-018-0492-5
- Identifier
- ISBN:1877-0533
- Abstract
- 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.
- Publisher
- Springer
- Relation
- Set-Valued and Variational Analysis Vol. 27, no. 3 (2019), p. 713-745
- Rights
- http://creativecommons.org/licenses/by/4.0/
- Rights
- Copyright © The Author(s) 2018 This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Generalized differential calculus; Directional limiting normal cone; Directional limiting subdifferential; Qualification conditions
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