کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4658725 | 1633111 | 2014 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fixed points and best approximation in arcwise connected spaces
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
It is shown that several theorems known to hold in complete geodesically bounded RR-trees extend to arcwise connected Hausdorff topological spaces which have the property that every monotone increasing sequence of arcs is contained in an arc. Let X be such a space and let [u,v][u,v] denote the unique arc joining u,v∈Xu,v∈X. Among other things, it is shown and if Y is a closed connected subset of X and if f:Y→Xf:Y→X is continuous, then f has a ‘best approximation’ in Y in the sense that there exists a point z∈Yz∈Y such that [z,f(z)]∩Y={z}[z,f(z)]∩Y={z}. A set-valued analog of this result is also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 166, 1 April 2014, Pages 108–113
Journal: Topology and its Applications - Volume 166, 1 April 2014, Pages 108–113
نویسندگان
Naseer Shahzad, W.A. Kirk, Maryam A. Alghamdi,