New fixed point free nonexpansive maps on weakly compact, convex subsets of $L^1[0,1]$
Volume 180 / 2007
Studia Mathematica 180 (2007), 271-284
MSC: Primary 47H10, 47H09, 46E30.
DOI: 10.4064/sm180-3-6
Abstract
We show that every subset of $L^1[0,1]$ that contains the nontrivial intersection of an order interval and finitely many hyperplanes fails to have the fixed point property for nonexpansive mappings.
