There is an equivalent norm on that has the fixed point property

✍ Scribed by Pei-Kee Lin

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 167 KB
• Volume: 68
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2007.01.050

✦ Synopsis

Let γ k = 8 k 1+8 k for all k ∈ N, and let ||| • ||| be the equivalent norm of 1 defined by

We prove that ( 1 , ||| • |||) has the fixed point property for nonexpansive self-mappings.