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Stationarity in Nonsmooth Optimization with Switching Constraints

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Abstract

This paper is devoted to the study of nonsmooth mathematical programming problems with switching constraints in which all emerging functions are assumed to be locally Lipschitz. We introduce some Abadie type constraint qualifications which are based on the Mordukhovich subdifferential. Then, we investigate the interrelations between these constraint qualifications and derive several necessary stationary conditions at optimal solutions to the considered problems.

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Acknowledgements

The authors are very grateful to the referees for their constructive comments, specially for having suggested the definition of \(\mathcal {L}^{MPSC}(\hat{x})\) and MPSC-ACQ.

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Authors and Affiliations

  1. Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran

    Fatemeh Gorgini Shabankareh, Nader Kanzi, Kamal Fallahi & Javad Izadi

Authors
  1. Fatemeh Gorgini Shabankareh
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  2. Nader Kanzi
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  3. Kamal Fallahi
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  4. Javad Izadi
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Corresponding author

Correspondence to Nader Kanzi.

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The authors declare that they have no conflict of interest.

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Shabankareh, F.G., Kanzi, N., Fallahi, K. et al. Stationarity in Nonsmooth Optimization with Switching Constraints. Iran J Sci Technol Trans Sci 46, 907–915 (2022). https://doi.org/10.1007/s40995-022-01289-3

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  • DOI: https://doi.org/10.1007/s40995-022-01289-3

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