Geodesic
The super fixed point property for asymptotically nonexpansive mappings
Andrzej Wiśnicki1
1 Institute of Mathematics Maria Curie-Skłodowska University 20-031 Lublin, Poland
Fundamenta Mathematicae, Tome 217 (2012) no. 3, pp. 265-277

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm217-3-5
Keywords: super fixed point property nonexpansive mappings asymptotically nonexpansive mappings intermediate sense equivalent consequence obtain fixed point theorems asymptotically nonexpansive mappings uniformly nonsquare uniformly noncreasy banach spaces results generalized commuting families asymptotically nonexpansive mappings

Andrzej Wiśnicki 1

1 Institute of Mathematics Maria Curie-Skłodowska University 20-031 Lublin, Poland 
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Andrzej Wiśnicki. The super fixed point property for
 asymptotically nonexpansive mappings. Fundamenta Mathematicae, Tome 217 (2012) no. 3, pp. 265-277. doi: 10.4064/fm217-3-5

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