Abstract:We consider a Banach space, which comes naturally from $c_0$ and it appears in the literature, and we prove that this space has the fixed point property for non-expansive mappings defined on weakly compact, convex sets.
Keywords: non-expansive mappings; fixed point property; Banach spaces isomorphic to $c_0$
AMS Subject Classification: 47H10 47H09 46B25