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Details of talk

TitleCharacterizations of H\"older Error Bounds
PresenterAlexander Kruger (Federation University Australia)
Author(s)Assoc Prof Alexander Kruger
Time15:30:00 2018-12-05

We continue the study of necessary and sufficient subdifferential conditions for
H\"{o}lder error bounds, particularly merging the conventional approach with the
new advancements proposed recently in Yao, Zheng (2016). We formulate a general
lemma collecting the main arguments used in the proofs of the subdifferential
sufficient error bound conditions and demonstrate that both linear and H\"older
type conditions, conventional and the new advancements, can be obtained as
direct consequences of this lemma. Some new estimates for the modulus of
H\"{o}lder error bounds will be presented.