Error bounds: necessary and sufficient conditions
Marian J. Fabian (fabianmath.cas.cz)
Abstract: The paper presents a general classiffication 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
Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )
Citation: Published in Set-Valued and Variational Analysis 18 (2010), no. 2, 121–149. The original publication is available electronically on SpringerLink: http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s11228-010-0133-0. August 5, 2010. Correction: Proposition 10 (iii) is valid in Asplund spaces.
Entry Submitted: 02/25/2009
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