New fixed point free nonexpansive maps on weakly compact, convex subsets of L¹[0,1]

• Autorzy: P. N. Dowling , C. J. Lennard , B. Turett
• Języki publikacji: EN

Abstrakty

EN

We show that every subset of L¹[0,1] that contains the nontrivial intersection of an order interval and finitely many hyperplanes fails to have the fixed point property for nonexpansive mappings.

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.)
• 47H10: Fixed-point theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 180
• Numer: 3
• Strony: 271-284

Daty

wydano

2007

Twórcy

autor

P. N. Dowling

• Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, U.S.A.

autor

C. J. Lennard

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

autor

B. Turett

• Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309, U.S.A.

Identyfikatory

DOI

10.4064/sm180-3-6