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- Title
Some Results on the Average Inverse Shadowing Property and Strong Ergodicity.
- Authors
Al-Shara'a, Iftichar Mudhar Talb; Al Sultani, Sarah Khadr Khazem
- Abstract
Let (Ӽ, ᶁ1) and (Ƴ,ᶁ2) be compact metric spaces, ʄ: (Ӽ, ᶁ1) → (Ӽ, ᶁ1) and : (Ƴ, ᶁ2) → (Ƴ, ᶁ2) be continuous maps. If ʄ and 𝒢 have dense minimal points and the average inverse shadowing property, we have proved ʄ × 𝒢 has an average inverse shadowing property, topological transitive and dense minimal points. Moreover, we have proved ʄ is totally strongly ergodic and weakly mixing.
- Subjects
SHADOWING theorem (Mathematics); METRIC spaces; FIXED point theory; NUMERICAL analysis; ERGODIC theory
- Publication
Baghdad Science Journal, 2018, Vol 15, Issue 4, p479
- ISSN
2078-8665
- Publication type
Article
- DOI
10.21123/bsj.2018.15.4.0479