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arXiv · 1203.6635

The super fixed point property for asymptotically nonexpansive mappings

Andrzej Wiśnicki
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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 for commuting families of asymptotically nonexpansive mappings.

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Andrzej Wiśnicki. 2012-03-29. The super fixed point property for asymptotically nonexpansive mappings. https://doi.org/10.4064/fm217-3-5

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