Artículo de revista
Boundary of Maximal Monotone Operators Values
Fecha
2020Registro en:
Appl Math Optim (2020) 82:225–243
10.1007/s00245-018-9498-5
Autor
Hantoute, Abderrahim
Nguyen, Bao Tran
Institución
Resumen
We characterize in Hilbert spaces the boundary of the values of maximal monotone operators, by means only of the values at nearby points, which are close enough to the reference point but distinct of it. This allows to write the values of such operators using finite convex combinations of the values at at most two nearby points. We also provide similar characterizations for the normal cone to prox-regular sets.