Optimality Conditions and Duality for Multiobjective Fractional Bilevel Optimization Problems
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915634491686912 |
|---|---|
| author | Lara, Felipe Pandey, Rishabh Singh, Vinay |
| author_facet | Lara, Felipe Pandey, Rishabh Singh, Vinay |
| contents | This paper studies a multiobjective bilevel optimization problem where each objective is a fractional function. By reformulating the problem into a single-level one, we establish refined necessary and sufficient optimality conditions. These results are derived using ${\partial}_D$-nonsmooth Abadie-type constraint qualifications and generalized convexity concepts (quasiconvexity and pseudoconvexity) based on directional convexificators. We also prove weak and strong duality theorems for a Mond-Weir dual problem formulated with directional convexificators. Finally, several examples are provided to illustrate the advantages of our approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18176 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optimality Conditions and Duality for Multiobjective Fractional Bilevel Optimization Problems Lara, Felipe Pandey, Rishabh Singh, Vinay Optimization and Control 90C26, 90C32, 90C46 This paper studies a multiobjective bilevel optimization problem where each objective is a fractional function. By reformulating the problem into a single-level one, we establish refined necessary and sufficient optimality conditions. These results are derived using ${\partial}_D$-nonsmooth Abadie-type constraint qualifications and generalized convexity concepts (quasiconvexity and pseudoconvexity) based on directional convexificators. We also prove weak and strong duality theorems for a Mond-Weir dual problem formulated with directional convexificators. Finally, several examples are provided to illustrate the advantages of our approach. |
| title | Optimality Conditions and Duality for Multiobjective Fractional Bilevel Optimization Problems |
| topic | Optimization and Control 90C26, 90C32, 90C46 |
| url | https://arxiv.org/abs/2511.18176 |