New fixed point free nonexpansive maps on
 weakly compact, convex subsets of $L^1[0,1]$

P. N. Dowling; C. J. Lennard; B. Turett

doi:10.4064/sm180-3-6

Wydawnictwa / Czasopisma IMPAN / Studia Mathematica / Wszystkie zeszyty

New fixed point free nonexpansive maps on weakly compact, convex subsets of $L^1[0,1]$

Tom 180 / 2007

P. N. Dowling, C. J. Lennard, B. Turett Studia Mathematica 180 (2007), 271-284 MSC: Primary 47H10, 47H09, 46E30. DOI: 10.4064/sm180-3-6

Streszczenie

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.

Autorzy

P. N. DowlingDepartment of Mathematics and Statistics
Miami University
Oxford, OH 45056, U.S.A.
e-mail
C. J. LennardDepartment of Mathematics
University of Pittsburgh
Pittsburgh, PA 15260, U.S.A.
e-mail
B. TurettDepartment of Mathematics and Statistics
Oakland University
Rochester, MI 48309, U.S.A.
e-mail

Pobierz zgodnie z CC-BY

Przeszukaj wydawnictwa IMPAN