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

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

Asia-Pacific Journal of Operational Research (APJOR), 2023, vol. 40, issue 06, 1-38

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.

Keywords: Parametric vector optimization problem; second-order contingent derivative of index γ ∈{0; 1}; second-order semi-differentiability of index γ ∈{0; 1}; Henig global proper efficient solution map; Henig global proper efficient perturbation map; sensitivity analysis (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0217595922500415

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