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

Author

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  • Duong Thi Viet An

    (Thai Nguyen University of Sciences)

  • Nguyen Huy Hung

    (Hanoi Pedagogical University 2)

  • Nguyen Tuyen

    (Hanoi Pedagogical University 2)

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.

Suggested Citation

  • Duong Thi Viet An & Nguyen Huy Hung & Nguyen Tuyen, 2024. "Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 202(2), pages 745-770, August.
    • Handle: RePEc:spr:joptap:v:202:y:2024:i:2:d:10.1007_s10957-024-02446-x
    DOI: 10.1007/s10957-024-02446-x
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    References listed on IDEAS

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    1. T. D. Chuong & J. C. Yao, 2010. "Generalized Clarke Epiderivatives of Parametric Vector Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 146(1), pages 77-94, July.
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