Boundary of Maximal Monotone Operators Values

被引：0
|
作者：
Abderrahim Hantoute
Bao Tran Nguyen
机构：
[1] Universidad de Chile,Center for Mathematical Modeling
[2] Universidad de O’Higgins,undefined
来源：
Applied Mathematics & Optimization | 2020年 / 82卷
关键词：
Maximal monotone operators; Prox-regular sets; Boundary points; 52A41; 90C25; 90C34;
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摘要：
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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页码：225 / 243
页数：18
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