{"ID":2838351,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2511.18176","arxiv_id":"2511.18176","title":"Optimality Conditions and Duality for Multiobjective Fractional Bilevel Optimization Problems","abstract":"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.","short_abstract":"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 quali...","url_abs":"https://arxiv.org/abs/2511.18176","url_pdf":"https://arxiv.org/pdf/2511.18176v1","authors":"[\"Felipe Lara\",\"Rishabh Pandey\",\"Vinay Singh\"]","published":"2025-11-22T20:03:57Z","proceeding":"math.OC","tasks":"[\"math.OC\"]","methods":"[]","has_code":false}