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Some of the sufficient conditions to get the G-Bi-shadowing action | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 92، دوره 13، شماره 1، خرداد 2022، صفحه 1105-1112 اصل مقاله (360.72 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5652 | ||
| نویسندگان | ||
| Mohammed Hussein Obaid Ajam* 1؛ Iftichar Mudhar Talb Al-Sharaa2 | ||
| 1Department of Mathematics, Collage of Education for Pure Science, University of Babylon, Babylon, Iraq | ||
| 2Department of Mathematics, Collage of Education for Pure Science, University of Babylon, Babylon, Iraq | ||
| تاریخ دریافت: 10 مرداد 1400، تاریخ بازنگری: 23 شهریور 1400، تاریخ پذیرش: 30 شهریور 1400 | ||
| چکیده | ||
| The aim of this paper is introduced some examples of a \(\mathbb{G}\)-bi-shadowing actions on the metric \(\mathbb{G}\)-space, by study a sufficient conditions of actions to be \(\mathbb{G}\)-bi-shadowing. We show the \(\mathbb{G}\)-\(\lambda\)-Contraction actions, \(\mathbb{G}\)-\(\left( \lambda,L \right)\)\textbf{-}Contraction action, and \(\mathbb{G}\)-Hardy-Rogers contraction action are \(\mathbb{G}\)-bi-shadowing by proved some theorems. | ||
| کلیدواژهها | ||
| G-space؛ G-Bi-Shadowing؛ Sufficient Conditions؛ G-Contraction | ||
| مراجع | ||
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[1] I.M.T. AL-Sharaa and R.S. AL-Joboury, Asymptotic fitting shadowing property, Albahir J. 7 (2018) 13–14. [2] M.H.O. Ajam, Some algebraic results of shadowing property in dynamical systems, J. Engin. Appl. Sci. 13 (2018) 6395–6397. [3] M.H.O. Ajam, On Bi-shadowing in Dynamical Systems, MSc. Thesis, University of Babylon, 2017. [4] M.H.O. Ajam and I.M. Talb, Some general properties of bi-shadowing property, J. University Babylon Pure Appl. Sci. 26 (2018) 226–232. [5] M.H.O. Ajam and I.M.T. Al-Shara’a, Types of expansivity on bi-shadowing property, IOP Conf. Ser. Materials Sci. Engin. 4 (2020) 042039. [6] M.H.O. Ajam and I.M.T. Al-Shara’a, Study of Chaotic Behaviour with G-Bi-Shadowing Property, J. College Basic Educ. Proc. Second Int. Sci. Conf. Humanities, Social and Pure Sciences / Part Two, 2021 pp. 110–122. [7] T.M. Apostol, Mathematical Analysis, Addison-Wesley, 1978. [8] R. Das and T. Das, Topological transitivity of uniform limit functions on G-spaces, Int. J. Math. Anal. 6 (2012)1491–1499. [9] P. Diamond, P. E. Kloeden, V.S. Kozyakin and A.V. Pokrovskii, Robustness of the observable behavior of semi hyperbolic dynamical systems, Avtomat. i Telemekh 11 (1995) 148–159. [10] L. Gilbert, Elements of Modern Algebra, Cengage Learning, 2014. [11] G. E. Hardy, and T. D. Rogers, A Generalization of a fixed point theorem of Reich, Canadian Math. Bull. 16 (1973) 201–206. [12] A.V. Osipov and S. B. Tikhomirov, Shadowing for actions of some finitely generated groups, Dyn. Syst. 29 (2014) 337–351. [13] S.Y. Pilyugin, Shadowing in Dynamical Systems, Springer, 2006. [14] S. Y. Pilyugin, Inverse shadowing in group actions, Dyn. Syst. 32 (2017) 198–210. [15] P. Walters, On the pseudo orbit tracing property and its relationship to stability, In: Markley N.G., Martin J.C., Perrizo W. (eds) The Structure of Attractors in Dynamical Systems. Lecture Notes in Mathematics, Springer, Berlin, Heidelberg, (1978) 231–244. | ||
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