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math.OC2022
Nonconvex quasi-variational inequalities: stability analysis and application to numerical optimization
Joydeep Dutta, Lahoussine Lafhim, Alain Zemkoho +1
We consider a parametric quasi-variational inequality (QVI) without any convexity assumption. Using the concept of \emph{optimal value function}, we transform the problem into that…
math.OC2022
Duality theory for optimistic bilevel optimization
Houria En-Naciri, Lahoussine Lafhim, Alain Zemkoho
In this paper, we exploit the so-called value function reformulation of the bilevel optimization problem to develop duality results for the problem. Our approach builds on Fenchel-…