- Title
- Directed subdifferentiable functions and the directed subdifferential without Delta-convex structure
- Creator
- Baier, Robert; Farkhi, Elza; Roshchina, Vera
- Date
- 2014
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/40984
- Identifier
- vital:5777
- Identifier
-
https://doi.org/10.1007/s10957-013-0401-x
- Identifier
- ISSN:1573-2878
- Abstract
- We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative without using any information on the delta-convex structure of the function. The new definition extends to a more general class of functions, which includes Lipschitz functions definable on o-minimal structure and quasidifferentiable functions. © 2013 Springer Science+Business Media New York.
- Publisher
- Springer New York LLC
- Relation
- Journal of Optimization Theory and Applications Vol. 160, no. 2 (2014), p. 391-414
- Rights
- Copyright Springer
- Rights
- This metadata is freely available under a CCO license
- Subject
- Difference of convex (delta-convex, DC) functions; Differences of sets; Directional derivatives; Nonconvex subdifferentials; 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics
- Reviewed
- Hits: 973
- Visitors: 938
- Downloads: 0