کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6424609 | 1344250 | 2015 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Uniform convexity, normal structure and the fixed point property of metric spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Uniform convexity, normal structure and the fixed point property of metric spaces Uniform convexity, normal structure and the fixed point property of metric spaces](/preview/png/6424609.png)
چکیده انگلیسی
We say that a complete metric space X has the fixed point property if every group of isometric automorphisms of X with a bounded orbit has a fixed point in X. We prove that if X is uniformly convex then the family of admissible subsets of X possesses uniformly normal structure and if so then it has the fixed point property. We also show that from other weaker assumptions than uniform convexity, the fixed point property follows. Our formulation of uniform convexity and its generalization can be applied not only to geodesic metric spaces.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 196, Part B, December 2015, Pages 684-695
Journal: Topology and its Applications - Volume 196, Part B, December 2015, Pages 684-695
نویسندگان
Katsuhiko Matsuzaki,