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arXiv · 1212.1508

Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure

Robert Baier·Elza Farkhi·Vera Roshchina
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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 DC 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.

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Robert Baier, Elza Farkhi, Vera Roshchina. 2013-08-08. Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure. https://doi.org/10.1007/s10957-013-0401-x

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