Geodesic
A contractive fixed point free mapping on a weakly compact convex set
Jared Burns 1   ; Chris Lennard 1   ; Jeromy Sivek 1
1 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A.
Studia Mathematica, Tome 223 (2014) no. 3, pp. 275-283 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm223-3-6
Keywords: prove existence contractive mapping weakly compact convex set banach space fixed point answers long standing question

Jared Burns  1   ; Chris Lennard  1   ; Jeromy Sivek  1

1 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A. 
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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) no. 3, pp. 275-283. doi: 10.4064/sm223-3-6

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