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A BOUNDED 2-HYPERCONVEX SPACE FAILING TO HAVE THE FIXED POINT PROPERTY FOR A STRICTLY NON-EXPANSIVE MAP

$icon-email$ NGUYEN NHUY

Abstract

It was shown in [3] that if $λ < 2$ , then any bounded $λ$ -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.

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A BOUNDED 2-HYPERCONVEX SPACE FAILING TO HAVE THE FIXED POINT PROPERTY FOR A STRICTLY NON-EXPANSIVE MAP

Abstract