کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4661074 | 1344402 | 2008 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymmetric norms and optimal distance points in linear spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
In this paper we analyze the existence of points of a subset S of a linear space X where the shortest distance to a point x of X with respect to an asymmetric norm q is attained (q-nearest points). Since the structure of an asymmetric norm do not provide in general uniqueness of such points—due to the fact that the separation properties in these spaces are in general weaker than in normed spaces—we develop a technique to find particular subsets of the set of q-nearest points—that we call optimal distance points—that are also optimal for the norm qs associated to the asymmetric norm.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 155, Issue 13, 1 July 2008, Pages 1410-1419
Journal: Topology and its Applications - Volume 155, Issue 13, 1 July 2008, Pages 1410-1419