A double-sequence random iteration process for random fixed points of contractive type random operators.
Mustafa, Ghulam (2004)
Lobachevskii Journal of Mathematics
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Mustafa, Ghulam (2004)
Lobachevskii Journal of Mathematics
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Choudhury, Binayak S., Ray, M. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Wael Bahsoun, Paweł Góra (2005)
Studia Mathematica
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A random map is a discrete-time dynamical system in which one of a number of transformations is randomly selected and applied on each iteration of the process. We study random maps with position dependent probabilities on the interval and on a bounded domain of ℝⁿ. Sufficient conditions for the existence of an absolutely continuous invariant measure for a random map with position dependent probabilities on the interval and on a bounded domain of ℝⁿ are the main results.
Choudhury, Binayak S. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Kachiashvili, K., Melikjanian, D. (2000)
Bulletin of TICMI
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W. Mlak (1983)
Annales Polonici Mathematici
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J. B. Ukšanović (1981)
Matematički Vesnik
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Tomoki Inoue (2012)
Studia Mathematica
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We consider a family of transformations with a random parameter and study a random dynamical system in which one transformation is randomly selected from the family and applied on each iteration. The parameter space may be of cardinality continuum. Further, the selection of the transformation need not be independent of the position in the state space. We show the existence of absolutely continuous invariant measures for random maps on an interval under some conditions.
Mustafa, Ghulam, Nosh, Nusrat Anjum, Rashid, Abdur (2005)
Lobachevskii Journal of Mathematics
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R. Kaufman (1970)
Studia Mathematica
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Choudhury, Binayak S. (2002)
International Journal of Mathematics and Mathematical Sciences
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I. Deák (1980)
Applicationes Mathematicae
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Zhu, Chuanxi, Xu, Zongben (2002)
International Journal of Mathematics and Mathematical Sciences
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Aya Hmissi, Farida Hmissi, Mohamed Hmissi (2012)
ESAIM: Proceedings
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This paper deals with some characterizations of gradient-like continuous random dynamical systems (RDS). More precisely, we establish an equivalence with the existence of random continuous section or with the existence of continuous and strict Liapunov function. However and contrary to the deterministic case, parallelizable RDS appear as a particular case of gradient-like RDS. The obtained results are generalizations of well-known analogous theorems in the framework of deterministic...
Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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