Stability of multivalued attractors
Dynamical Systems
2017-04-07 v1
Abstract
Stimulated by recent problems in the theory of iterated function systems, we provide a variant of the Banach converse theorem for multivalued maps. In particular, we show that attractors of continuous multivalued maps in a metric space are stable. Moreover, such attractors in locally compact, complete metric spaces may be obtained by means of the Banach theorem in the hyperspace.
Cite
@article{arxiv.1704.01877,
title = {Stability of multivalued attractors},
author = {Miroslav Rypka},
journal= {arXiv preprint arXiv:1704.01877},
year = {2017}
}
Comments
11 pages, 2 figures