2015/05/25 by Mehdi Fatehi Nia, Nia, Mehdi Fatehi
Biochemistry, Genetics and Molecular Biology · Mathematics · #Caveolin-1 and cellular processes #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #Receptor Mechanisms and Signaling
paper · pdf · doi:10.48550/arxiv.1505.06547
openalex publication_date 2015/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The average shadowing property is considered for set-valued dynamical systems, generated by parameterized IFS, which are uniformly contracting, or conjugacy, or products of such ones. We also prove that if a continuous surjective IFS F on a compact metric space X has the aver- age shadowing property, then every point x is chain recurrent. Moreover, we introduce some examples and investigate the relationship between the original shadowing property and shadowing property for IFS. For example, this is proved that the Sierpinski IFS has the average shadowing property. Then we shows that there is an IFS F on S1 such that F does not sat- isfy the average shadowing property but every point x in S1 is a chain recurrent.