Research Communication | Open Access
Volume 2019 | Communication ID 206
Volume 2019 | Communication ID 206
| Fixed points theorems of nonexpansive mappings and connectedness properties |
Youssef Mouhib, Mohamed Aamri
Received |
Accepted |
Published |
Jan 31, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: Recently, many of the standard ideas of nonlinear analysis have been extended to the class of so-called CAT(0) spaces (see [6], [7]). While many of the Banach space ideas carry over to a complete CAT(0) setting without essential change, often a more geometrical approach is required, with less emphasis on topological concepts caused by, among other things, the absence of a weak topology. There is an interesting class of spaces which are both complete CAT(0) spaces and hyperconvex metric spaces. These are the complete R-trees (or metric trees). Indeed, a CAT(0) space is hyperconvex if and ...