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On conditions to have bounded multipliers in locally lipschitz programming

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Abstract

For a nonlinear programming problem with locally Lipschitz objective and inequality constraint functions and continuously differentiable equality constraint functions, a necessary and sufficient condition is presented for the set of multiplier vectors to be nonempty and bounded.

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References

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Authors and Affiliations

  1. Département de Mathématique, Facultes Universitaires de Namur, Namur, Belgium

    V. Hien Nguyen & J. -J. Strodiot

  2. Washington State University, Pullman, WA, USA

    R. Mifflin

Authors
  1. V. Hien Nguyen
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  2. J. -J. Strodiot
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  3. R. Mifflin
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Additional information

This author's work was supported by the National Science Foundation under Grant No. MCS 78-06716.

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Nguyen, V.H., Strodiot, J.J. & Mifflin, R. On conditions to have bounded multipliers in locally lipschitz programming. Mathematical Programming 18, 100–106 (1980). https://doi.org/10.1007/BF01588302

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  • DOI: https://doi.org/10.1007/BF01588302

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