A contractive fixed point free mapping on a
 weakly compact convex set

Jared Burns; Chris Lennard; Jeromy Sivek

doi:10.4064/sm223-3-6

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A contractive fixed point free mapping on a weakly compact convex set

Volume 223 / 2014

Jared Burns, Chris Lennard, Jeromy Sivek Studia Mathematica 223 (2014), 275-283 MSC: 47H09, 46E30. DOI: 10.4064/sm223-3-6

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.

Authors

Jared BurnsDepartment of Mathematics
University of Pittsburgh
Pittsburgh, PA 15260, U.S.A.
e-mail
Chris LennardDepartment of Mathematics
University of Pittsburgh
Pittsburgh, PA 15260, U.S.A.
e-mail
Jeromy SivekDepartment of Mathematics
University of Pittsburgh
Pittsburgh, PA 15260, U.S.A.
e-mail

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