Weaker constraint qualifications in maximal monotonicity

被引：11
|
作者：
Bot, Radu Ioan [1 ]
Grad, Sorin-Mihai [1 ]
Wanka, Gert [1 ]
机构：
[1] Tech Univ Chemnitz, Fac Math, D-09107 Chemnitz, Germany
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2007年 / 28卷 / 1-2期
关键词：
Brezis-Haraux-type approximation; Fitzpatrick function; maximal monotone operator; subdifferential;
D O I：
10.1080/01630560701190224
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a sufficient condition, weaker than the others known so far, that guarantees that the sum of two maximal monotone operators on a reflexive Banach space is maximal monotone. Then we give a weak constraint qualification assuring the Brezis - Haraux- type approximation of the range of the sum of the subdifferentials of two proper convex lower-semicontinuous functions in nonreflexive Banach spaces, extending and correcting an earlier result due to Riahi.
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页码：27 / 41
页数：15
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