کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
431369 1441270 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Continuity and Lipschitz constants for projections
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Continuity and Lipschitz constants for projections
چکیده انگلیسی

The continuity of the best approximation projection onto a suitable subspace of a metric space is examined. Conditions are given for the existence of the infimum of the set of Lipschitz constants for a continuous projection on a compact subset of a metric space. It is also shown that the mapping taking a compact set to the corresponding infimum Lipschitz constant is uniformly continuous with respect to the Hausdorff metric. The paper is fully constructive: it uses intuitionistic logic throughout.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: The Journal of Logic and Algebraic Programming - Volume 79, Issue 1, January 2010, Pages 2-9