ε-Enlargements of maximal monotone operators in Banach spaces

被引：70

作者：

Burachik, RS

Svaiter, BF

机构：

[1] UFRJ, COPPE, BR-21945970 Rio De Janeiro, Brazil

[2] Inst Matemat Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

来源：

SET-VALUED ANALYSIS | 1999年 / 7卷 / 02期

关键词：

Banach spaces; maximal monotone operators; enlargement of an operator; Brondsted-Rockafellar property; transportation formula; Lipschitz continuity; local boundedness;

D O I：

10.1023/A:1008730230603

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a maximal monotone operator T in a Banach space, we consider an enlargement T-epsilon, in which monotonicity is lost up to epsilon, in a very similar way to the epsilon-subdifferential of a convex function. We establish in this general framework some theoretical properties of T-epsilon, like a transportation formula, local Lipschitz continuity, local boundedness, and a Brondsted-Rockafellar property.

引用

页码：117 / 132

页数：16

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