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Some results on sensitivity analysis in set-valued optimization

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Abstract

In the paper, the higher-order contingent derivative of a parametrized set-valued inclusion is first established. For its applications, we obtain sensitivity analysis of solution map in the decision variable space for a parametrized constrained set-valued optimization problem in terms of higher-order contingent derivatives.

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Acknowledgements

The author is grateful to the editor and an anonymous referee for their valuable comments which helped to improve our manuscript.

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Authors and Affiliations

  1. Department of Optimization and System Theory, University of Science, Vietnam National University-HCMC, 227 Nguyen Van Cu, District 5, Hochiminh City, Vietnam

    Nguyen Le Hoang Anh

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  1. Nguyen Le Hoang Anh
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Correspondence to Nguyen Le Hoang Anh.

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Anh, N.L.H. Some results on sensitivity analysis in set-valued optimization. Positivity 21, 1527–1543 (2017). https://doi.org/10.1007/s11117-017-0483-z

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