A contractive fixed point free mapping on a weakly compact convex set
Jared Burns ; Chris Lennard ; Jeromy Sivek
Studia Mathematica, Tome 223 (2014), p. 275-283 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:285651 
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     journal = {Studia Mathematica},
     volume = {223},
     year = {2014},
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     zbl = {1317.47054},
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Jared Burns; Chris Lennard; Jeromy Sivek. A contractive fixed point free mapping on a weakly compact convex set. Studia Mathematica, Tome 223 (2014) pp. 275-283. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-3-6/