A contractive fixed point free mapping on a weakly compact convex set
Jared Burns; Chris Lennard; Jeromy Sivek
Studia Mathematica (2014)
- Volume: 223, Issue: 3, page 275-283
- ISSN: 0039-3223
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Abstract
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topJared Burns, Chris Lennard, and Jeromy Sivek. "A contractive fixed point free mapping on a weakly compact convex set." Studia Mathematica 223.3 (2014): 275-283. <http://eudml.org/doc/285651>.
@article{JaredBurns2014,
abstract = {We prove the existence of a contractive mapping on a weakly compact convex set in a Banach space that is fixed point free. This answers a long-standing open question.},
author = {Jared Burns, Chris Lennard, Jeromy Sivek},
journal = {Studia Mathematica},
keywords = {contractive mapping; fixed point free mapping; nonexpansive mapping; fixed point property; closed; bounded; convex set; weakly compact convex set},
language = {eng},
number = {3},
pages = {275-283},
title = {A contractive fixed point free mapping on a weakly compact convex set},
url = {http://eudml.org/doc/285651},
volume = {223},
year = {2014},
}
TY - JOUR
AU - Jared Burns
AU - Chris Lennard
AU - Jeromy Sivek
TI - A contractive fixed point free mapping on a weakly compact convex set
JO - Studia Mathematica
PY - 2014
VL - 223
IS - 3
SP - 275
EP - 283
AB - We prove the existence of a contractive mapping on a weakly compact convex set in a Banach space that is fixed point free. This answers a long-standing open question.
LA - eng
KW - contractive mapping; fixed point free mapping; nonexpansive mapping; fixed point property; closed; bounded; convex set; weakly compact convex set
UR - http://eudml.org/doc/285651
ER -
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