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Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization

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Abstract

In the paper, we introduce the higher-order generalized Studniarski epiderivative of set-valued maps. Via this concept, some results on optimality conditions and duality for set-valued optimization problems are established.

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Acknowledgements

The author is grateful to an anonymous referee for his/her valuable comments which helps to improve the manuscript.

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Authors and Affiliations

  1. Applied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh 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. Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization. Positivity 22, 1371–1385 (2018). https://doi.org/10.1007/s11117-018-0582-5

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