There is an equivalent norm on image that has the fixed point property Original Research Article

Let View the MathML sourceγk=8k1+8k for all k∈Nk∈N, and let ⦀⋅⦀⦀⋅⦀ be the equivalent norm of ℓ1ℓ1 defined by View the MathML source⦀(an)⦀=supk∈Nγk∑n=k∞|an|for all x=(an)∈ℓ1. Turn MathJax on We prove that (ℓ1,⦀⋅⦀)(ℓ1,⦀⋅⦀) has the fixed point property for nonexpansive self-mappings.