Boundary of Maximal Monotone Operators Values

被引：2

作者：

Hantoute, Abderrahim ^{[1
]}

Nguyen, Bao Tran ^{[2
]}

机构：

[1] Univ Chile, Ctr Math Modeling, Santiago, Chile

[2] Univ OHiggins, Rancagua, Chile

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2020年 / 82卷 / 01期

关键词：

Maximal monotone operators; Prox-regular sets; Boundary points; CONSTRAINT SYSTEMS; CALMNESS MODULI; ERROR-BOUNDS; SUBDIFFERENTIALS; STABILITY;

D O I：

10.1007/s00245-018-9498-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：225 / 243

页数：19

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