<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. Under an appropriate constraint qualification, we establish necessary optimality conditions for weakly robust efficient solutions of the considered problem. These optimality conditions are presented in terms of Karush-Kuhn-Tucker multipliers and convexificators of the related functions. Examples illustrating our findings are also given.</p>
</abstract>

This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. Under an appropriate constraint qualification, we establish necessary optimality conditions for weakly robust efficient solutions of the considered problem. These optimality conditions are presented in terms of Karush-Kuhn-Tucker multipliers and convexificators of the related functions. Examples illustrating our findings are also given.

Necessary Optimality Conditions for Robust Nonsmooth Multiobjective Optimization Problems

Control and Cybernetics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. Under an appropriate constraint...

Necessary Optimality Conditions for Robust Nonsmooth Multiobjective Optimization Problems

Data publikacji: 22 mar 2023

Zakres stron: 289 - 302

Otrzymano: 01 lip 2021

Przyjęty: 01 cze 2022

DOI: https://doi.org/10.2478/candc-2022-0018

Słowa kluczowe
convexificator, directional constraint qualification, efficient solution, optimality conditions, robust multiobjective optimization

© 2022 Nazih Abderrazzak Gadhi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Necessary Optimality Conditions for Robust Nonsmooth Multiobjective Optimization Problems

Data publikacji: 22 mar 2023

Zakres stron: 289 - 302

Otrzymano: 01 lip 2021

Przyjęty: 01 cze 2022

DOI: https://doi.org/10.2478/candc-2022-0018

Słowa kluczoweconvexificator, directional constraint qualification, efficient solution, optimality conditions, robust multiobjective optimization

© 2022 Nazih Abderrazzak Gadhi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
convexificator, directional constraint qualification, efficient solution, optimality conditions, robust multiobjective optimization