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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Fixed points and best approximation in arcwise connected spaces
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
نویسندگان
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