4 papers
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…
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-…
Extension of the value function reformulation to multiobjective bilevel optimization
Lahoussine Lafhim, Alain Zemkoho
We consider a multiobjective bilevel optimization problem with vector-valued upper- and lower-level objective functions. Such problems have attracted a lot of interest in recent ye…
Problem of optimal control for bilinear systems with endpoint constraint
Soufiane Yahyaoui, Lahoussine Lafhim, Mohamed Ouzahra
In this work, we will investigate the question of optimal control for bilinear systems with constrained endpoint. The optimal control will be characterized through a set of unconst…