On the fixed points of nonexpansive mappings in direct sums of Banach spaces

• Autorzy: Andrzej Wiśnicki
• Języki publikacji: EN

Abstrakty

EN

We show that if a Banach space X has the weak fixed point property for nonexpansive mappings and Y has the generalized Gossez-Lami Dozo property or is uniformly convex in every direction, then the direct sum X ⊕ Y with a strictly monotone norm has the weak fixed point property. The result is new even if Y is finite-dimensional.

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 46B20: Geometry and structure of normed linear spaces
• 47H10: Fixed-point theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 207
• Numer: 1
• Strony: 75-84

Daty

wydano

2011

Twórcy

autor

Andrzej Wiśnicki

• Institute of Mathematics, Maria Curie-Skłodowska University, 20-031 Lublin, Poland

Identyfikatory

DOI

10.4064/sm207-1-5