کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
843675 | 908562 | 2009 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Generalized derivatives of distance functions and the existence of nearest points
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
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چکیده انگلیسی
The relationships between the generalized directional derivative of the distance function and the existence of nearest points as well as some geometry properties in Banach spaces are studied. It is proved in the present paper that the condition that for each closed subset G of X and xâXâG, the Clarke, Michel-Penot, Dini or modified Dini directional derivative of the distance function is 1 or â1 implying the existence of the nearest points to x from G is equivalent to X being compactly locally uniformly convex. Similar results for uniqueness of the nearest point are also established.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 70, Issue 7, 1 April 2009, Pages 2575-2581
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 70, Issue 7, 1 April 2009, Pages 2575-2581
نویسندگان
Jinsu He, Chong Li,