Error bounds: necessary and sufficient conditions

The paper presents a general classification scheme of necessary and sufficient criteria for the error bound property incorporating the existing conditions. Several derivative-like objects both from the primal as well as from the dual space are used to characterize the error bound property of extended-real-valued functions on a Banach space.

Keywords

Error bounds, Calmness, Subdifferential, Slope

URI

https://doi.org/10.34657/2306
https://oa.tib.eu/renate/handle/123456789/2235

Citation

Fabian, M. J., Henrion, R., Kruger, A. Y., & Outrata, J. (2010). Error bounds: necessary and sufficient conditions (Vol. 1477). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.

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Mathematik
WIAS Preprints

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