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Lahlali Mohamed, Saissi Fatima Ezzahra, Bouihat Khalid, Optimality conditions for a class of properly efficient solutions of strong multiobjective bilevel optimization problems

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DOI: 10.23952/asvao.8.2026.2.04
Volume 8, Issue 2, 1 August 2026, Pages 179-203

 

Abstract. In this paper, we are concerned with a strong vectorial nonlinear bilevel programming problem whose upper and lower levels are vectorial. For such a problem, we give a conjugate duality approach based on Scalarization, regularization, and conjugate duality. We show that any accumulation point of the sequence of scalarized-regularized solutions solves the bilevel programming problem. Via this duality approach, we establish necessary optimality conditions for the scalarized-regularized problem. We also provide necessary and sufficient optimality conditions for a class of properly efficient solutions of the bilevel programming problem.

 

How to Cite this Article:
L. Mohamed, S.F. Ezzahra, B. Khalid, Optimality conditions for a class of properly efficient solutions of strong multiobjective bilevel optimization problems, Appl. Set-Valued Anal. Optim. 8 (2026), 179-203.