Error bounds: Necessary and sufficient conditions
- Fabian, Marian J.
- Henrion, René
- Kruger, Alexander Y.
- Outrata, Jiří
2010 Mathematics Subject Classification
- 49J52 49J53 58C06
- Error bounds, calmness, subdifferential, slope
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.
- Set-Valued Var. Anal., 18 (2010) pp. 121--149.