Open AccessTopologically stable equicontinuous non-autonomous systems
Author(s) -
Abdul Gaffar Khan,
Pramod Kumar Das,
Tarun Das
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2111721k
Subject(s) - equicontinuity , expansive , mathematics , property (philosophy) , pure mathematics , commutative property , metric space , hyperspace , physics , philosophy , compressive strength , epistemology , thermodynamics
We obtain sufficient conditions for commutative non-autonomous systems on certain metric spaces (not necessarily compact) to be topologically stable. In particular, we prove that: (i) Every mean equicontinuous, mean expansive system with strong average shadowing property is topologically stable. (ii) Every equicontinuous, recurrently expansive system with eventual shadowing property is topologically stable. (iii) Every equicontinuous, expansive system with shadowing property is topologically stable.