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Higher-order tangent epiderivatives and applications to duality in set-valued optimization

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Abstract

In the paper, we introduce higher-order tangent epiderivatives for set-valued maps. Then, we study some basic properties of these concepts. Finally, we establish some results on duality in set-valued optimization. Several examples are given to illustrate the obtained results.

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Acknowledgements

This study was fully funded by Tra Vinh University under grant contract number 296/ HƉ.HƉKH-ƉHTV. The authors are grateful to the anonymous referees for their constructive comments, which help to improve the paper.

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Authors and Affiliations

  1. Tra Vinh University, Tra Vinh City, Vietnam

    Tran Thien Khai

  2. Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, Vietnam

    Tran Thien Khai, Nguyen Le Hoang Anh & Nguyen Manh Truong Giang

  3. Vietnam National University, Ho Chi Minh City, Vietnam

    Tran Thien Khai, Nguyen Le Hoang Anh & Nguyen Manh Truong Giang

Authors
  1. Tran Thien Khai
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  2. Nguyen Le Hoang Anh
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  3. Nguyen Manh Truong Giang
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Correspondence to Nguyen Le Hoang Anh.

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Khai, T.T., Anh, N.L.H. & Giang, N.M.T. Higher-order tangent epiderivatives and applications to duality in set-valued optimization. Positivity 25, 1699–1720 (2021). https://doi.org/10.1007/s11117-021-00838-1

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  • DOI: https://doi.org/10.1007/s11117-021-00838-1

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