Abstract
We concentrate on bi-shadowing property, it has important properties and applications in mathematics. In this paper some general properties of this concept are proved. Let be a metric space be maps have bi-shadowing property. We show the maps and have bi-shadowing property.
 Let be maps on a metric space have bi-shadowing property. We show the maps and have bi-shadowing property.
Highlights
Attractors of the discrete dynamical system on an infinite-time interval have been used to investigate the properties of the system
We show the maps and have bi-shadowing property
The inverse idea is important, that is, every true orbit of the system can be approximated by a pseudo orbit with specific properties
Summary
Attractors of the discrete dynamical system on an infinite-time interval have been used to investigate the properties of the system. Let be maps on a metric space have bi-shadowing property. We show the maps and have bi-shadowing property.
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