| Issue |
RAIRO-Oper. Res.
Volume 58, Number 4, July-August 2024
|
|
|---|---|---|
| Page(s) | 3049 - 3067 | |
| DOI | https://doi.org/10.1051/ro/2024118 | |
| Published online | 01 August 2024 | |
Higher-order optimality conditions with separated derivatives and sensitivity analysis for set-valued optimization
1
School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, P.R. China
2
School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, P.R. China
* Corresponding author: guolin_yu@126.com
Received:
16
October
2023
Accepted:
22
May
2024
In this paper, we establish optimality conditions and sensitivity analysis of set-valued optimization problems in terms of higher-order radial derivatives. First, we obtain the optimality conditions with separated derivatives for a set-valued optimization problem, here separated derivatives means the derivatives of objective and constraint functions are different. Then, some duality theorems for a mixed type of primal-dual set-valued optimization problem are gained. Finally, several results concerning higher-order sensitivity analysis are presented. The main results of this paper are illustrated by some concrete examples.
Mathematics Subject Classification: 58C20 / 46G05 / 90C26 / 90C46
Key words: Higher-order radial derivative / optimality condition / duality / sensitivity analysis
© The authors. Published by EDP Sciences, ROADEF, SMAI 2024
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