The super fixed point property for asymptotically nonexpansive mappings

Details The super fixed point property for asymptotically nonexpansive mappings The super fixed point property for asymptotically nonexpansive mappings

2012-03-29

arxiv.org/abs/1203.6635v1

Mathematics

Functional Analysis

Scientific paper

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 for commuting families of asymptotically nonexpansive mappings.

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