𝐷-representation of subdifferentials of directionally Lipschitz functions

Jofré, Alejandro; Thibault, Lionel

doi:10.1090/S0002-9939-1990-1015680-3

$D$-representation of subdifferentials of directionally Lipschitz functions
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by Alejandro Jofré and Lionel Thibault PDF

Proc. Amer. Math. Soc. 110 (1990), 117-123 Request permission

Abstract:

Subdifferentials of convex functions and some regular functions $f$ are expressed in terms of limiting gradients at points in a given dense subset of ${\text {dom}}\nabla f$.

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