Some types of the shadowing property of uniform convergence
*Murtadha Mohammed MansoorCorresponding authormurtadha.mansoor.pure431@student.uobabylon.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of BabylonBabylon, IraqView full profile → , Iftichar Mudhar Al-Shara`aPure.iftichar.talb@uobabylon.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of BabylonBabylon, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 04 Oct 2024
- Published Online:
- 08 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2071
- Pages:
- 929–935
Abstract
Keywords
Subject Classifications
References
[1] D. V. Anosov, “Geodesic flows on closed Riemannian manifolds of negative curvature,” Trudy Matematicheskogo Instituta Imeni VA Steklova, vol. 90, pp. 3–210 (1967).
[2] R. S. Al-Juboory and I. M. Al-Shara’a, “The sequence G-asymptotic average shadowing property with G-chain transitive,” Journal of Physics: Conference Series, vol. 1804, no. 1, pp. 012103 (2021).
[3] R. Abu-Saris and K. Al-Hami, “Uniform convergence and chaotic behavior,” Nonlinear Analysis: Theory, Methods & Applications, vol. 65, no. 4, pp. 933–937 (2006).
[4] C. Bei and Z. Ji, “The research of asymptotic average shadowing property and pointwise Lipschitz shadowing property,” Journal of Physics: Conference Series, vol. 2283, no. 1, pp. 012016 (2022).
[5] A. Fedeli and A. Le Donne, “A note on the uniform limit of transitive dynamical systems,” Bulletin of the Belgian Mathematical Society-Simon Stevin, vol. 16, no. 1, pp. 59–66 (2009).
[6] M. Garg and R. Das, “Average chain transitivity and the almost average shadowing property,” Communications of the Korean Mathematical Society, vol. 32, no. 1, pp. 201–214 (2017).
[7] T. Wang, J. Yin, and Q. Yan, “The sequence asymptotic average shadowing property and transitivity,” Journal of Nonlinear Science and Applications, vol. 12, no. 9, pp. 3600–3610 (2016).
[8] Z. Yong, “Average shadowing properties on compact metric spaces,” Communications of the Korean Mathematical Society, vol. 21, no. 2, pp. 355–361 (2006).
[9] J. I. Zhanjiang and Z. H. Gengrong, “On the weakly almost periodic point and the periodic sequence shadowing property under strongly uniform convergence,” Journal of South China Normal University (Natural Science Edition), vol. 53, no. 2, pp. 110–113 (2021).
