کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774398 1631561 2018 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Smoothness of the metric projection onto nonconvex bodies in Hilbert spaces
ترجمه فارسی عنوان
شفافیت طرح ریزی متریک بر روی اجسام غوطه ور در فضاهای هیلبرت
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
Based on a fundamental work of R. B. Holmes from 1973, we study differentiability properties of the metric projection onto prox-regular sets. We show that if the set is a nonconvex body with a Cp+1-smooth boundary, then the projection is Cp-smooth near suitable open truncated normal rays, which are determined only by the function of prox-regularity. A local version of the same result is established as well, namely, when the smoothness of the boundary and the prox-regularity of the set are assumed only near a fixed point. Finally, similar results are derived when the prox-regular set is itself a Cp+1-submanifold.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 457, Issue 2, 15 January 2018, Pages 1307-1332
نویسندگان
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