The super fixed point property for asymptotically nonexpansive mappings
Functional Analysis
2015-11-24 v1
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.
Cite
@article{arxiv.1203.6635,
title = {The super fixed point property for asymptotically nonexpansive mappings},
author = {Andrzej Wiśnicki},
journal= {arXiv preprint arXiv:1203.6635},
year = {2015}
}