TOWARDS MINIMAL ASSUMPTIONS FOR THE INFIMAL CONVOLUTION REGULARIZATION

被引：28

作者：

BOUGEARD, M ^{[1
]}

PENOT, JP ^{[1
]}

POMMELLET, A ^{[1
]}

机构：

[1] FAC SCI PAU,CNRS,UA 1204,F-64000 PAU,FRANCE

来源：

JOURNAL OF APPROXIMATION THEORY | 1991年 / 64卷 / 03期

关键词：

D O I：

10.1016/0021-9045(91)90062-F

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We encompass the Moreau-Yosida regularization process by infimal convolution into a general framework. This sheds light on the assumptions required for obtaining the usual properties. In particular the class of lower-T2 mappings is shown to be a suitable class for performing the usual proximal regularization in open subsets of Hilbert spaces. The role of growth conditions is pointed out. © 1991.

引用

页码：245 / 270

页数：26

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[2]

ATTOUCH H, 1984, APPLICABLE MATH SERI

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