New fixed point free nonexpansive maps on weakly compact, convex subsets of L¹[0,1]
P. N. Dowling, C. J. Lennard, B. Turett (2007)
Studia Mathematica
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We show that every subset of L¹[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.