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About error bounds in metric spaces

In: Operations Research Proceedings 2011

Author

Listed:
  • Marian J. Fabian

    (Academy of Sciences of the Czech Republic)

  • René Henrion

    (Weierstrass Institute for Applied Analysis and Stochastics)

  • Alexander Y. Kruger

    (University of Ballarat)

  • Jiří V. Outrata

    (Academy of Sciences of the Czech Republic)

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.

Suggested Citation

  • Marian J. Fabian & René Henrion & Alexander Y. Kruger & Jiří V. Outrata, 2012. "About error bounds in metric spaces," Operations Research Proceedings, in: Diethard Klatte & Hans-Jakob Lüthi & Karl Schmedders (ed.), Operations Research Proceedings 2011, edition 127, pages 33-38, Springer.
    • Handle: RePEc:spr:oprchp:978-3-642-29210-1_6
    DOI: 10.1007/978-3-642-29210-1_6
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    Citations

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    Cited by:

    1. Alexander Y. Kruger, 2016. "Nonlinear Metric Subregularity," Journal of Optimization Theory and Applications, Springer, vol. 171(3), pages 820-855, December.
    2. Huynh Van Ngai & Michel Théra, 2015. "Directional Metric Regularity of Multifunctions," Mathematics of Operations Research, INFORMS, vol. 40(4), pages 969-991, October.
    3. Huynh Van Ngai & Nguyen Huu Tron & Michel Théra, 2014. "Metric Regularity of the Sum of Multifunctions and Applications," Journal of Optimization Theory and Applications, Springer, vol. 160(2), pages 355-390, February.
    4. Huynh Ngai & Nguyen Huu Tron & Michel Théra, 2016. "Directional Hölder Metric Regularity," Journal of Optimization Theory and Applications, Springer, vol. 171(3), pages 785-819, December.

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