Abstract
A semi-infinite multiobjective programming problem in the face of data uncertainty in constraints is considered. Robust sufficient optimality conditions for weakly robust efficient, robust efficient and properly robust efficient solutions to the problem are established. Mond-Weir type dual model is formulated and appropriate duality results are obtained. The results are illustrated with a biobjective uncertainty semi-infinite problem.
| Original language | English |
|---|---|
| Pages (from-to) | 87-99 |
| Number of pages | 13 |
| Journal | Acta Mathematica Universitatis Comenianae |
| Volume | 91 |
| Issue number | 1 |
| State | Published - 1 Feb 2022 |
Bibliographical note
Funding Information:Received March 13, 2021; revised December 15, 2021. 2020 Mathematics Subject Classification. Primary 90C26, 90C29, 90C34, 90C46. Key words and phrases. Semi-infinite programming; multiobjective programming; robust optimization; optimality conditions; duality theorems. The first author gratefully acknowledges the King Fahd University of Petroleum and Minerals, Saudi Arabia to provide the financial support under the Small/Sabic Research Grant no. SB191005.
Publisher Copyright:
© 2022, Comenius University in Bratislava. All rights reserved.
Keywords
- Duality theorems
- Multiobjective programming
- Optimality conditions
- Robust optimization
- Semi-infinite programming
ASJC Scopus subject areas
- Mathematics (all)