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About error bounds in metric spaces

Marian J. Fabian (fabian***at***math.cas.cz)
Rene Henrion (henrion***at***wias-berlin.de)
Alexander Y. Kruger (a.kruger***at***ballarat.edu.au)
Jirı V. Outrata (outrata***at***utia.cas.cz)

Abstract: The paper presents a general primal space classification scheme of necessary and sufficient criteria for the error bound property incorporating the existing conditions. Several primal space derivative-like objects - slopes - are used to characterize the error bound property of extended-real-valued functions on metric sapces.


Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Citation: Published in D. Klatte et al. (eds.), Operations Research Proceedings 2011. DOI 10.1007/978-3-642- 29210-1_6, © Springer-Verlag Berlin Heidelberg 2012, pp.33-38. The original publication is available at http://link.springer.com/chapter/10.1007/978-3-642-29210-1_6

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Entry Submitted: 12/23/2011
Entry Accepted: 12/24/2011
Entry Last Modified: 11/12/2012

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