Articulo
Boundary of Maximal Monotone Operators Values
Applied Mathematics & Optimization
Registro en:
1151003
1151003
Autor
Hantoute, Abderrahim
Tran-Nguyen, Bao
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. Keywords Maximal monotone operators · Prox-regular sets · Boundary points Regular 2015 FONDECYT FONDECYT