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Remarks Connected with the Weak Limit of Iterates of Some Random-Valued Functions and Iterative Functional Equations Cover

Remarks Connected with the Weak Limit of Iterates of Some Random-Valued Functions and Iterative Functional Equations

By: Karol Baron  
Open Access
|Jul 2020

References

  1. [1] K. Baron, On the convergence in law of iterates of random-valued functions, Aust. J. Math. Anal. Appl. 6 (2009), no. 1, Art. 3, 9 pp.
  2. [2] K. Baron, On the continuous dependence in a problem of convergence of iterates of random-valued functions, Grazer Math. Ber. 363 (2015), 1–6.
  3. [3] K. Baron, Weak law of large numbers for iterates of random-valued functions, Aequationes Math. 93 (2019), 415–423.10.1007/s00010-018-0585-0
  4. [4] K. Baron, Weak limit of iterates of some random-valued functions and its application, Aequationes Math. DOI: 10.1007/s00010-019-00650-z.10.1007/s00010-019-00650-z
  5. [5] R. Kapica, Sequences of iterates of random-valued vector functions and solutions of related equations, Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 213 (2004), 113–118 (2005).10.1553/SundA2004sSII113
  6. [6] R. Kapica, The geometric rate of convergence of random iteration in the Hutchinson distance, Aequationes Math. 93 (2019), 149–160.10.1007/s00010-018-0624-x
  7. [7] M. Kuczma, B. Choczewski and R. Ger, Iterative functional equations, Encyclopedia of Mathematics and its Applications, vol. 32, Cambridge University Press, Cambridge, 1990.10.1017/CBO9781139086639
DOI: https://doi.org/10.2478/amsil-2019-0015 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 36 - 44
Submitted on: May 21, 2019
Accepted on: Dec 19, 2019
Published on: Jul 9, 2020
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Karol Baron, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.