Hyperbolic homeomorphisms on compact manifolds are shown to have both inverse shadowing and bishadowing properties with respect to a class of δ-methods which are represented by continuous mappings from the manifold into the space of bi-infinite sequences in the manifold with the product topology. Topologically stable homeomorphisms and expanding mappings are also considered.
@article{bwmeta1.element.bwnjournal-article-apmv65z2p171bwm,
author = {P. E. Kloeden and J. Ombach},
title = {Hyperbolic homeomorphisms and bishadowing},
journal = {Annales Polonici Mathematici},
volume = {66},
year = {1997},
pages = {171-177},
zbl = {0877.58044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv65z2p171bwm}
}
P. E. Kloeden; J. Ombach. Hyperbolic homeomorphisms and bishadowing. Annales Polonici Mathematici, Tome 66 (1997) pp. 171-177. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv65z2p171bwm/
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