The super fixed point property for asymptotically nonexpansive mappings
Volume 217 / 2012
Fundamenta Mathematicae 217 (2012), 265-277
MSC: Primary 47H09, 47H10; Secondary 46B08.
DOI: 10.4064/fm217-3-5
Abstract
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.
