New fixed point free nonexpansive maps on weakly compact, convex subsets of L¹[0,1]

P. N. Dowling, C. J. Lennard, and B. Turett. "New fixed point free nonexpansive maps on weakly compact, convex subsets of L¹[0,1]." Studia Mathematica 180.3 (2007): 271-284. <http://eudml.org/doc/284982>.

@article{P2007,
abstract = {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.},
author = {P. N. Dowling, C. J. Lennard, B. Turett},
journal = {Studia Mathematica},
keywords = {weakly compact set; nonexpansive mapping; fixed point property; convex set; Alspach's map},
language = {eng},
number = {3},
pages = {271-284},
title = {New fixed point free nonexpansive maps on weakly compact, convex subsets of L¹[0,1]},
url = {http://eudml.org/doc/284982},
volume = {180},
year = {2007},
}

TY - JOUR
AU - P. N. Dowling
AU - C. J. Lennard
AU - B. Turett
TI - New fixed point free nonexpansive maps on weakly compact, convex subsets of L¹[0,1]
JO - Studia Mathematica
PY - 2007
VL - 180
IS - 3
SP - 271
EP - 284
AB - 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.
LA - eng
KW - weakly compact set; nonexpansive mapping; fixed point property; convex set; Alspach's map
UR - http://eudml.org/doc/284982
ER -