On the fixed point property in direct sums of Banach spaces with strictly monotone norms

• Autorzy: Stanisław Prus , Andrzej Wiśnicki
• Języki publikacji: EN

Abstrakty

EN

It is shown that if a Banach space X has the weak Banach-Saks property and the weak fixed point property for nonexpansive mappings and Y has the asymptotic (P) property (which is weaker than the condition WCS(Y) > 1), then X ⊕ Y endowed with a strictly monotone norm enjoys the weak fixed point property. The same conclusion is valid if X admits a 1-unconditional basis.

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: 2008
• Tom: 186
• Numer: 1
• Strony: 87-99

Daty

wydano

2008

Twórcy

autor

Stanisław Prus

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

autor

Andrzej Wiśnicki

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

Identyfikatory

DOI

10.4064/sm186-1-8