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Error Bounds: Necessary and Sufficient Conditions |
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| Authors: | Marian J. Fabian René Henrion Alexander Y. Kruger Jiří V. Outrata |
| Affiliation: | 1. Mathematical Institute, Academy of Sciences of the Czech Republic, ?itná 25, 11567, Prague 1, Czech Republic 2. Weierstrass Institute for Applied Analysis and Stochastics, 10117, Berlin, Germany 3. School of Information Technology and Mathematical Sciences, Centre for Informatics and Applied Optimization, University of Ballarat, POB 663, Ballarat, Vic, 3350, Australia 4. Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, 18208, Prague, Czech Republic |
| Abstract: | 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. |
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