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Kadom Obaid, Akhlas, J. Kadhim, Ihsan. (1402). Non-expansive linear random dynamical systems. هنرهای کاربردی, 14(5), 179-186. doi: 10.22075/ijnaa.2023.30135.4345
Akhlas Kadom Obaid; Ihsan J. Kadhim. "Non-expansive linear random dynamical systems". هنرهای کاربردی, 14, 5, 1402, 179-186. doi: 10.22075/ijnaa.2023.30135.4345
Kadom Obaid, Akhlas, J. Kadhim, Ihsan. (1402). 'Non-expansive linear random dynamical systems', هنرهای کاربردی, 14(5), pp. 179-186. doi: 10.22075/ijnaa.2023.30135.4345
Kadom Obaid, Akhlas, J. Kadhim, Ihsan. Non-expansive linear random dynamical systems. هنرهای کاربردی, 1402; 14(5): 179-186. doi: 10.22075/ijnaa.2023.30135.4345

Non-expansive linear random dynamical systems

International Journal of Nonlinear Analysis and Applications
مقاله 17، دوره 14، شماره 5، مرداد 2023، صفحه 179-186    اصل مقاله (380.16 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30135.4345
نویسندگان
Akhlas Kadom Obaid* 1؛ Ihsan J. Kadhim2
1Department of Mathematics, College of Education for Girls , University of Al-Kufa, Najaf, Iraq
2Department of Mathematics, College of Science , University of Al-Qadisiyah, Diwania, Iraq
تاریخ دریافت: 19 دی 1401،  تاریخ بازنگری: 23 بهمن 1401،  تاریخ پذیرش: 03 فروردین 1402 
چکیده
The aim of this work is to present and study the concepts of non-expansive, quasi-nonexpansive, α−nonexpansive and asymptotically-nonexpansive of the linear random dynamical systems, and several essential facts be given. Also, the relationships between these concepts are shown.
کلیدواژه‌ها
Random Dynamical Systems؛ non-expansive؛ α − nonexpansive؛ asymptotically-nonexpansive
مراجع

[1] K. Aoyama and F. Kohsaka, Fixed point theorem for α-nonexpansive mappings in banach spaces, Nonlinear Anal.: Theory, Meth. Appl. 74 (2011), no. 13, 4387–4391.
[2] L. Arnold, Random Dynamical Systems, Springer Science & Business Media, 1991.
[3] L. Arnold and I. Chueshov, Order-preserving random dynamical systems: equilibria, attractors, applications, Dyn. Stabil. Syst. 13 (1998), no. 3, 265–280.
[4] S. Atailia, N. Redjel, and A. Dehici, Some fixed point results for generalized contractions of suzuki type in banach spaces, J. Fixed Point Theory Appl. 21 (2019), no. 3, 78.
[5] I. Chueshov, Monotone Random Systems Theory and Applications, Springer-Verlag Berlin Heidelberg New York, 2002.
[6] I.J. Kadhim and A.H. Khalil, On expansive random operators over a uniform random dynamical systems, Eur. J. Sci. R. 142 (2016), no. 4, 334–342.
[7] R. Pant, P. Patel, R. Shukla, and M. De la Sen, Fixed point theorems for nonexpansive type mappings in Banach spaces, Symmetry 13 (2021), no. 4, 585.
[8] K.R. Schenk-Hopp´e, Random attractors–general properties, existence and applications to stochastic bifurcation theory, Discrete Contin. Dyn. Syst. 4 (1997), no. 1, 99–130.

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