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Error bounds: necessary and sufficient conditions

2010, Fabian, Marian J., Henrion, Ren´e, Kruger, Alexander Y., Outrata, Jiˇr´ı

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.