کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4590531 | 1334967 | 2014 | 53 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Differential properties of the Moreau envelope
ترجمه فارسی عنوان
خواص دیفرانسیل پاکت مورو
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
In a vector space endowed with a uniformly Gâteaux differentiable norm, it is proved that the Moreau envelope enjoys many remarkable differential properties and that its subdifferential can be completely described through a certain approximate proximal mapping. This description shows in particular that the Moreau envelope is essentially directionally smooth. New differential properties are derived for the distance function associated with a closed set. Moreover, the analysis, when applied to the investigation of the convexity of Tchebyshev sets, allows us to recover several known results in the literature and to provide some new ones.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 266, Issue 3, 1 February 2014, Pages 1185–1237
Journal: Journal of Functional Analysis - Volume 266, Issue 3, 1 February 2014, Pages 1185–1237
نویسندگان
Abderrahim Jourani, Lionel Thibault, Dariusz Zagrodny,