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Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization

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Abstract

In this paper, by revisiting coderivative calculus rules for convex multifunctions in finite-dimensional spaces, we derive formulae for estimating/computing the basic subdifferential and the coderivative of the efficient point multifunction of parametric convex vector optimization problems. These results are then applied to a broad class of conventional convex vector optimization problems with the presence of operator constraints and equilibrium ones. Examples are also designed to analyze and illustrate the obtained results.

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Acknowledgements

The authors would like to thank the anonymous referees for their careful readings and valuable suggestions which improved the presentation of this manuscript.

Funding

This research is funded by Hanoi Pedagogical University 2 Foundation for Sciences and Technology Development under Grant Number HPU2.2023-UT-11.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, Thai Nguyen University of Sciences, Thai Nguyen, 250000, Vietnam

    Duong Thi Viet An

  2. Department of Mathematics, Hanoi Pedagogical University 2, Xuan Hoa, Phuc Yen, Vinh Phuc, Vietnam

    Nguyen Huy Hung & Nguyen Van Tuyen

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  1. Duong Thi Viet An
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  2. Nguyen Huy Hung
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  3. Nguyen Van Tuyen
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Correspondence to Nguyen Van Tuyen.

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An, D.T.V., Hung, N.H. & Van Tuyen, N. Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization. J Optim Theory Appl (2024). https://doi.org/10.1007/s10957-024-02446-x

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