Youness El-Yahyaoui, Rachid El Idrissi, El Mostafa Kalmoun, Lahoussine Lafhim, Charnes-Cooper scalarization to non-smooth semivectorial bilevel optimization problems
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DOI: 10.23952/jnva.10.2026.5.07
Volume 10, Issue 5, 1 October 2026, Pages 991-1012
Abstract. Semivectorial bilevel optimization problems, particularly those where the lower-level problem is solved up to efficiency, have attracted significant attention in optimization theory. While previous research in this area has often focused on problems with continuously differentiable functions, many real-world applications of bilevel optimization feature non-smooth functions. Motivated by this observation, the current study aims to propose new necessary optimality conditions for semivectorial bilevel programs under weaker regularity assumptions that allow for non-differentiability. Specifically, we revisit the Charnes-Cooper scalarization technique and present tailored optimality results for problems where the data satisfy only local Lipschitz continuity. Through this generalization, our results provide a more flexible theoretical framework applicable to a broader class of non-smooth optimization models arising in practical semivectorial bilevel programming contexts.
How to Cite this Article:
Y. El-Yahyaoui, R. El Idrissi, E.M. Kalmoun, L. Lafhim, Charnes-Cooper scalarization to non-smooth semivectorial bilevel optimization problems, J. Nonlinear Var. Anal. 10 (2026), 991-1012.