Abstract
We show that the distance from 0 to the outer limiting subdifferential of the support function of the subdifferential set, which is essentially the distance from 0 to the end set of the subdifferential set, is an upper estimate of the local error bound modulus. This upper estimate becomes tight for a convex function under some regularity conditions. We show that the distance from 0 to the outer limiting subdifferential set of a lower (Formula presented.) function is equal to the local error bound modulus.
Original language | English |
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Pages (from-to) | 463-487 |
Number of pages | 25 |
Journal | Mathematical Programming |
DOIs | |
Publication status | Published - 25 Oct 2017 |
Keywords
- End set
- Error bound modulus
- Locally Lipschitz
- Lower $${\mathcal {C}}^1$$C1function
- Outer limiting subdifferential
- Support function
ASJC Scopus subject areas
- Software
- General Mathematics