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arXiv · 2511.18176

Optimality Conditions and Duality for Multiobjective Fractional Bilevel Optimization Problems

Felipe Lara·Rishabh Pandey·Vinay Singh
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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.

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Felipe Lara, Rishabh Pandey, Vinay Singh. 2025-11-22. Optimality Conditions and Duality for Multiobjective Fractional Bilevel Optimization Problems. https://arxiv.org/abs/2511.18176

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