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.
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页码：157 / 181
页数：25
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