WIAS Preprint No. 1477, (2010)

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.

Appeared in

  • Set-Valued Var. Anal., 18 (2010) pp. 121--149.

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