Error Bounds: Necessary and Sufficient Conditions

Journal Article

Outrata Jiří, Kruger A.Y., Fabian Marián, Henrion R.

serial: Set-Valued and Variational Analysis vol.18, 2 (2010), p. 121-149

research: CEZ:AV0Z10750506

research: CEZ:AV0Z10190503

project(s): IAA100750802, GA AV ČR

keywords: Error bounds, Calmness, Subdifferential, Slope

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abstract (eng):

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.

RIV: BA