Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616541 | Journal of Mathematical Analysis and Applications | 2013 | 17 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Rafa Espínola, Bozėna Pia̧tek,