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.
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Patrocinador
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Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
CONICYT FONDECYT
1151003
Conicyt-Pcha/Doctorado Nacional/2014-63140104
Mathamsud
17-Math-06
Conicyt-Redes
150040
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