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Quantitative Stability of a Generalized Equation

Author

Listed:
  • S. Adly

    (Université de Limoges)

  • R. Cibulka

    (Université de Limoges
    University of West Bohemia)

Abstract

The paper is devoted to the study of several stability properties (such as Aubin/Lipschitz-like property, calmness and isolated calmness) of a special non-monotone generalized equation. The theoretical results are applied in the theory of non-regular electrical circuits involving electronic devices like ideal diode, practical diode, and diode alternating current.

Suggested Citation

  • S. Adly & R. Cibulka, 2014. "Quantitative Stability of a Generalized Equation," Journal of Optimization Theory and Applications, Springer, vol. 160(1), pages 90-110, January.
    • Handle: RePEc:spr:joptap:v:160:y:2014:i:1:d:10.1007_s10957-013-0369-6
    DOI: 10.1007/s10957-013-0369-6
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    Citations

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    Cited by:

    1. Matthieu Maréchal, 2018. "Metric Subregularity in Generalized Equations," Journal of Optimization Theory and Applications, Springer, vol. 176(3), pages 541-558, March.
    2. Samir Adly, 2019. "A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics," Journal of Optimization Theory and Applications, Springer, vol. 180(1), pages 62-90, January.
    3. Amos Uderzo, 2016. "A Strong Metric Subregularity Analysis of Nonsmooth Mappings Via Steepest Displacement Rate," Journal of Optimization Theory and Applications, Springer, vol. 171(2), pages 573-599, November.

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