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Retraction Note: Fixed point theorems and explicit estimates for convergence rates of continuous time Markov chains

Fixed Point Theory and Applications volume 2020, Article number: 5 (2020) Cite this article

The Original Article was published on 31 October 2015

1 Retraction note

The Editors-in-Chief have retracted this article [1] because it showed evidence of peer review manipulation. In addition, the identity of the corresponding author could not be verified: Nagoya University have confirmed that Ikudol Miyamato has not been affiliated with their Graduate School of Mathematics.

The authors have not responded to any correspondence regarding this retraction.

References

  1. Yan, Z., Yan, G., Miyamoto, I.: Fixed point theorems and explicit estimates for convergence rates of continuous time Markov chains. Fixed Point Theory Appl. 2015, 197 (2015). https://doi.org/10.1186/s13663-015-0443-x

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Authors and Affiliations

  1. School of Mathematics and Statistics, Central South University, Changsha, China

    Zhenhai Yan

  2. School of Statistics, Henan University of Economics and Law, Zhengzhou, China

    Zhenhai Yan

  3. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, China

    Guojun Yan

  4. Graduate School of Mathematics, Nagoya University, Nagoya, Japan

    Ikudol Miyamoto

Authors
  1. Zhenhai Yan
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  2. Guojun Yan
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  3. Ikudol Miyamoto
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Corresponding author

Correspondence to Ikudol Miyamoto.

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Yan, Z., Yan, G. & Miyamoto, I. Retraction Note: Fixed point theorems and explicit estimates for convergence rates of continuous time Markov chains. Fixed Point Theory Appl 2020, 5 (2020). https://doi.org/10.1186/s13663-020-00672-2

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  • DOI: https://doi.org/10.1186/s13663-020-00672-2