Volume 56, Number 3, May-June 2022
|Page(s)||1373 - 1395|
|Published online||02 June 2022|
On second-order radial-asymptotic proto-differentiability of the borwein perturbation maps
Faculty of Pedagogy and Faculty of Social Sciences & Humanities, Kien Giang University, Chau Thanh, Kien Giang, Vietnam
Accepted: 3 May 2022
This paper deals with second-order sensitivity analysis of parameterized vector optimization problems. We prove that the Borwein efficient solution map and the Borwein efficient perturbation map of a parametric vector optimization problem are second-order radial-asymptotic proto-differentiable under some suitable qualification conditions. Some examples are also given for illustrating the obtained results.
Mathematics Subject Classification: 90Q46 / 90C26 / 90C29 / 90C30
Key words: Parametric vector optimization problem / second-order radial-asymptotic derivative / Borwein efficient solution map / Borwein efficient perturbation map / sensitivity analysis
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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