A BOUNDED 2-HYPERCONVEX SPACE FAILING TO HAVE THE FIXED POINT PROPERTY FOR A STRICTLY NON-EXPANSIVE MAP
NGUYEN NHUY
Abstract
It was shown in [3] that if , then any bounded -hyperconvex space has the fixed point property for non-expansive maps. In this note we construct an example of a bounded 2-hyperconvex space with the fixed point free for any iteration of a strictly non-expansive map.