On Limit Sets of Monotone Maps on Dendroids
Open Access
- 1 July 2020
- journal article
- research article
- Published by Walter de Gruyter GmbH in Applied Mathematics and Nonlinear Sciences
- Vol. 5 (2), 311-316
- https://doi.org/10.2478/amns.2020.2.00056
Abstract
Let X be a dendrite, f : X → X be a monotone map. In the papers by I. Naghmouchi (2011, 2012) it is shown that ω-limit set ω(x, f ) of any point x ∈ X has the next properties: In the paper by E. Makhrova, K. Vaniukova (2016 ) it is proved that The aim of this note is to show that the above results – do not hold for monotone maps on dendroids.Keywords
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