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.
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.