کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616541 1339352 2013 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The fixed point property and unbounded sets in CAT(0) spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The fixed point property and unbounded sets in CAT(0) spaces
چکیده انگلیسی

In this work we study the fixed point property for nonexpansive self-mappings defined on convex and closed subsets of a CAT(0) space. We will show that a positive answer to this problem is very much linked with the Euclidean geometry of the space while the answer is more likely to be negative if the space is more hyperbolic. As a consequence we extend a very well known result of W.O. Ray on Hilbert spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 408, Issue 2, 15 December 2013, Pages 638–654
نویسندگان
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