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arXiv · 1201.0986

On the structure of fixed-point sets of asymptotically regular semigroups

Andrzej Wiśnicki
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Abstract

We extend a few recent results of G\'{o}rnicki (2011) asserting that the set of fixed points of an asymptotically regular mapping is a retract of its domain. In particular, we prove that in some cases the resulting retraction is H\"{o}lder continuous. We also characterise Bynum's coefficients and the Opial modulus in terms of nets.

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Andrzej Wiśnicki. 2012-01-04. On the structure of fixed-point sets of asymptotically regular semigroups. https://doi.org/10.1016/j.jmaa.2012.03.036

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