# On error bound moduli for locally Lipschitz and regular functions

M. H. Li, K. W. Meng, Xiaoqi Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)

## 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 463-487 25 Mathematical Programming https://doi.org/10.1007/s10107-017-1200-1 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
• Mathematics(all)

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