Version 1
: Received: 29 October 2024 / Approved: 29 October 2024 / Online: 30 October 2024 (05:07:48 CET)
How to cite:
Ruiz-Garzón, G.; Osuna-Gómez, R.; Rufián-Lizana, A.; Beato-Moreno, A. Robust Semis-Infinite Interval Equilibrium Problem Involving Data Uncertainty: Optimality Conditions and Duality. Preprints2024, 2024102278. https://doi.org/10.20944/preprints202410.2278.v1
Ruiz-Garzón, G.; Osuna-Gómez, R.; Rufián-Lizana, A.; Beato-Moreno, A. Robust Semis-Infinite Interval Equilibrium Problem Involving Data Uncertainty: Optimality Conditions and Duality. Preprints 2024, 2024102278. https://doi.org/10.20944/preprints202410.2278.v1
Ruiz-Garzón, G.; Osuna-Gómez, R.; Rufián-Lizana, A.; Beato-Moreno, A. Robust Semis-Infinite Interval Equilibrium Problem Involving Data Uncertainty: Optimality Conditions and Duality. Preprints2024, 2024102278. https://doi.org/10.20944/preprints202410.2278.v1
APA Style
Ruiz-Garzón, G., Osuna-Gómez, R., Rufián-Lizana, A., & Beato-Moreno, A. (2024). Robust Semis-Infinite Interval Equilibrium Problem Involving Data Uncertainty: Optimality Conditions and Duality. Preprints. https://doi.org/10.20944/preprints202410.2278.v1
Chicago/Turabian Style
Ruiz-Garzón, G., Antonio Rufián-Lizana and Antonio Beato-Moreno. 2024 "Robust Semis-Infinite Interval Equilibrium Problem Involving Data Uncertainty: Optimality Conditions and Duality" Preprints. https://doi.org/10.20944/preprints202410.2278.v1
Abstract
In this paper, we model uncertainty in both the objective function and the constraints for the robust semi-infinite interval equilibrium problem involving data uncertainty. We particularize these conditions for the robust semi-infinite mathematical programming problem with interval-valued functions by extending results from the literature. We introduce the dual robust version of the above problem, prove the Mond-Weir type weak and strong duality theorems, and illustrate with an example.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
