Directed subdifferentiable functions and the directed subdifferential without Delta-convex structure

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
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