On the structure of fixed-point sets of asymptotically regular semigroups
Functional Analysis
2015-11-24 v1
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.
Cite
@article{arxiv.1201.0986,
title = {On the structure of fixed-point sets of asymptotically regular semigroups},
author = {Andrzej Wiśnicki},
journal= {arXiv preprint arXiv:1201.0986},
year = {2015}
}
Comments
11 pages