화학공학소재연구정보센터
Applied Mathematics and Optimization, Vol.82, No.1, 225-243, 2020
Boundary of Maximal Monotone Operators Values
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.