The super fixed point property for asymptotically nonexpansive mappings

• Autorzy: Andrzej Wiśnicki
• Języki publikacji: EN

Abstrakty

EN

We show that the super fixed point property for nonexpansive mappings and for asymptotically nonexpansive mappings in the intermediate sense are equivalent. As a consequence, we obtain fixed point theorems for asymptotically nonexpansive mappings in uniformly nonsquare and uniformly noncreasy Banach spaces. The results are generalized to commuting families of asymptotically nonexpansive mappings.

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 47H10: Fixed-point theorems
• 46B08: Ultraproduct techniques in Banach space theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 217
• Numer: 3
• Strony: 265-277

Daty

wydano

2012

Twórcy

autor

Andrzej Wiśnicki

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

Identyfikatory

DOI

10.4064/fm217-3-5