Artículo de revista
Sublevel representations of epi-Lipschitz sets and other properties
Math. Program., Ser. B (2018) 168: 555–569
Czarnecki, Marc Olivier
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 the sets are also obtained. New optimality conditions are provided, for optimization problems with epi-Lipschitz set constraints, in terms of the signed distance function.