<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

Publié en ligne: 22 mars 2023

Pages: 289 - 302

Reçu: 01 juil. 2021

Accepté: 01 juin 2022

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

Mots clés
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

Publié en ligne: 22 mars 2023

Pages: 289 - 302

Reçu: 01 juil. 2021

Accepté: 01 juin 2022

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

Mots clésconvexificator, 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.

Mots clés
convexificator, directional constraint qualification, efficient solution, optimality conditions, robust multiobjective optimization