Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/80844
Title: On error bound moduli for locally Lipschitz and regular functions
Authors: Li, MH
Meng, KW
Yang, XQ 
Keywords: Error bound modulus
Locally Lipschitz
Outer limiting subdifferential
Support function
End set
Lower C1 function
Issue Date: Sep-2018
Publisher: Springer
Source: Mathematical programming, Sept. 2018, v. 171, no. 1-2, p. 463-487 How to cite?
Journal: Mathematical programming 
Abstract: In this paper we study local error bound moduli for a locally Lipschitz and regular function via outer limiting subdifferential sets. 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 C1 function is equal to the local error bound modulus.
URI: http://hdl.handle.net/10397/80844
ISSN: 0025-5610
DOI: 10.1007/s10107-017-1200-1
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