Moreau envelopes of s-lower regular functions

被引：9

作者：

Kecis, I. ^{[1
]}

Thibault, L. ^{[1
,2
]}

机构：

[1] Univ Montpellier, Inst Math, Montpellier, France

[2] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 127卷

关键词：

Moreau envelope; Proximal mapping; s-lower regular function; Uniformly convex space; Hypomonotone operator; Subdifferential; SUBDIFFERENTIALS; INTEGRATION; SETS;

D O I：

10.1016/j.na.2015.06.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper investigates various properties of Moreau envelopes and proximal mappings of s-lower regular functions. In particular, for such a function on uniformly convex space, the Moreau envelope is shown to be differentiable with its derivative locally Holder continuous. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：157 / 181

页数：25

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