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.
Keywords: Parametric vector optimization problem, second-order radial-asymptotic derivative, Borwein efficient solution map, Borwein efficient perturbation map, sensitivity analysis
@article{RO_2022__56_3_1373_0,
author = {Pham, Thanh-Hung and Nguyen, Thanh-Sang},
title = {On second-order radial-asymptotic proto-differentiability of the borwein perturbation maps},
journal = {RAIRO. Operations Research},
pages = {1373--1395},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {3},
doi = {10.1051/ro/2022062},
mrnumber = {4431923},
zbl = {1492.90194},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022062/}
}
TY - JOUR AU - Pham, Thanh-Hung AU - Nguyen, Thanh-Sang TI - On second-order radial-asymptotic proto-differentiability of the borwein perturbation maps JO - RAIRO. Operations Research PY - 2022 SP - 1373 EP - 1395 VL - 56 IS - 3 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022062/ DO - 10.1051/ro/2022062 LA - en ID - RO_2022__56_3_1373_0 ER -
%0 Journal Article %A Pham, Thanh-Hung %A Nguyen, Thanh-Sang %T On second-order radial-asymptotic proto-differentiability of the borwein perturbation maps %J RAIRO. Operations Research %D 2022 %P 1373-1395 %V 56 %N 3 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022062/ %R 10.1051/ro/2022062 %G en %F RO_2022__56_3_1373_0
Pham, Thanh-Hung; Nguyen, Thanh-Sang. On second-order radial-asymptotic proto-differentiability of the borwein perturbation maps. RAIRO. Operations Research, Tome 56 (2022) no. 3, pp. 1373-1395. doi: 10.1051/ro/2022062
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