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

• Autorzy: Jared Burns , Chris Lennard , Jeromy Sivek
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 223
• Numer: 3
• Strony: 275-283

Daty

wydano

2014

Twórcy

autor

Jared Burns

• Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.

autor

Chris Lennard

• Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.

autor

Jeromy Sivek

• Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.

Identyfikatory

DOI

10.4064/sm223-3-6