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On Second-Order Semi-Differentiability of Index γ of Perturbation Maps in Parametric Vector Optimization Problems

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  • Thanh-Hung Pham

    (Faculty of Pedagogy and Faculty of Social Sciences & Humanities, Kien Giang University, Chau Thanh, Kien Giang, Vietnam)

Abstract

In this paper, we prove that the Henig global proper efficient solution map and the Henig global proper efficient perturbation map of a parametric vector optimization problem are second-order semi-differentiable with index γ ∈{0, 1} under some suitable qualification conditions. Several examples are given to illustrate the obtained results.

Suggested Citation

  • Thanh-Hung Pham, 2023. "On Second-Order Semi-Differentiability of Index γ of Perturbation Maps in Parametric Vector Optimization Problems," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 40(06), pages 1-38, December.
    • Handle: RePEc:wsi:apjorx:v:40:y:2023:i:06:n:s0217595922500415
    DOI: 10.1142/S0217595922500415
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