Bulletin of the Belgian Mathematical Society - Simon Stevin

Generalized CAT(0) spaces

M. A. Khamsi and S. A. Shukri

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We extend the Gromov geometric definition of CAT(0) spaces to the case where the comparison triangles are not in the Euclidean plane but belong to a general Banach space. In particular, we study the case where the Banach space is $\ell_p$, for $p > 2$.

Article information

Bull. Belg. Math. Soc. Simon Stevin Volume 24, Number 3 (2017), 417-426.

First available in Project Euclid: 27 September 2017

Permanent link to this document

Primary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.
Secondary: 46B20: Geometry and structure of normed linear spaces 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30] 47E10

CAT(0) spaces fixed point hyperbolic metric spaces uniformly convex uniformly Lipschitzian mapping


Khamsi, M. A.; Shukri, S. A. Generalized CAT(0) spaces. Bull. Belg. Math. Soc. Simon Stevin 24 (2017), no. 3, 417--426.https://projecteuclid.org/euclid.bbms/1506477690

Export citation