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Existence and approximation for variational problems under uniform constraints on the gradient by power penalty
(SIAM Publications, 2015)
Variational problems under uniform quasi-convex constraints on the gradient are studied. Our
technique consists in approximating the original problem by a one-parameter family of smooth
unconstrained optimization problems. ...
Error bounds, metric subregularity and stability in Generalized Nash Equilibrium Problems with nonsmooth payoff functions
(2016)
In this paper, we study the calmness of a generalized Nash equilibrium problem (GNEP) with non-differentiable data. The approach consists in obtaining some error bound property for the KKT system associated with the ...
Sublevel representations of epi-Lipschitz sets and other properties
(Springer, 2018)
Epi-Lipschitz sets in normed spaces are represented as sublevel sets of Lipschitz functions satisfying a so-called qualification condition. Canonical representations through the signed distance functions associated with ...