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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets

Author

Listed:
  • N. Q. Huy

    (Hanoi Pedagogical University No. 2)

  • J.-C. Yao

    (Kaohsiung Medical University
    National Sun Yat-sen University)

Abstract

In this paper, without using any regularity assumptions, we derive a new exact formula for computing the Fréchet coderivative and an exact formula for the Mordukhovich coderivative of normal cone mappings to perturbed polyhedral convex sets. Our development establishes generalizations and complements of the existing results on the topic. An example to illustrate formulae is given.

Suggested Citation

  • N. Q. Huy & J.-C. Yao, 2013. "Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets," Journal of Optimization Theory and Applications, Springer, vol. 157(1), pages 25-43, April.
    • Handle: RePEc:spr:joptap:v:157:y:2013:i:1:d:10.1007_s10957-012-0157-8
    DOI: 10.1007/s10957-012-0157-8
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    References listed on IDEAS

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    1. Shu Lu, 2010. "Variational Conditions Under the Constant Rank Constraint Qualification," Mathematics of Operations Research, INFORMS, vol. 35(1), pages 120-139, February.
    2. Shu Lu & Stephen M. Robinson, 2008. "Variational Inequalities over Perturbed Polyhedral Convex Sets," Mathematics of Operations Research, INFORMS, vol. 33(3), pages 689-711, August.
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    Cited by:

    1. B. S. Mordukhovich & T. T. A. Nghia & R. T. Rockafellar, 2015. "Full Stability in Finite-Dimensional Optimization," Mathematics of Operations Research, INFORMS, vol. 40(1), pages 226-252, February.

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