Conjugacies adapted to lower semicontinuous functions

被引：7

作者：

Penot, Jean-Paul ^{[1
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, Paris 05, France

来源：

OPTIMIZATION | 2015年 / 64卷 / 03期

关键词：

90C46; 49N15; 90C26; convexity; estimates; smoothness; duality; coupling; subdifferential; coercivity; rotundity; conjugacy; CONVEX; DUALITY; CONJUGATION;

D O I：

10.1080/02331934.2013.796472

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We revisit a remarkable duality devoted to lower semicontinuous functions. We compare its definition in terms of a coupling with its definition in terms of linear-like (or elementary) functions. We consider several variants. Then, we deal with the passage from smoothness to rotundity and the reverse passage and we examine the transfer of boundedness properties to coercivity properties. The relevance of this conjugacy for mathematical programming problems is pointed out.

引用

页码：473 / 494

页数：22

共 28 条

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