Geodesic
New fixed point free nonexpansive maps on weakly compact, convex subsets of $L^1[0,1]$
P. N. Dowling1 ; C. J. Lennard2 ; B. Turett3
1Department of Mathematics and Statistics Miami University Oxford, OH 45056, U.S.A.
2Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A.
3Department of Mathematics and Statistics Oakland University Rochester, MI 48309, U.S.A.
Studia Mathematica, Tome 180 (2007) no. 3, pp. 271-284
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm180-3-6
Keywords: every subset contains nontrivial intersection order interval finitely many hyperplanes fails have fixed point property nonexpansive mappings

P. N. Dowling  1   ; C. J. Lennard  2   ; B. Turett  3

1 Department of Mathematics and Statistics Miami University Oxford, OH 45056, U.S.A.
2 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A.
3 Department of Mathematics and Statistics Oakland University Rochester, MI 48309, U.S.A. 
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     author = {P. N. Dowling and C. J. Lennard and B. Turett},
     title = {New fixed point free nonexpansive maps on
 weakly compact, convex subsets of $L^1[0,1]$},
     journal = {Studia Mathematica},
     pages = {271--284},
     year = {2007},
     volume = {180},
     number = {3},
     doi = {10.4064/sm180-3-6},
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P. N. Dowling; C. J. Lennard; B. Turett. New fixed point free nonexpansive maps on
 weakly compact, convex subsets of $L^1[0,1]$. Studia Mathematica, Tome 180 (2007) no. 3, pp. 271-284. doi: 10.4064/sm180-3-6

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