• Title/Summary/Keyword: shadowing Lemma

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EXTENDING THE APPLICATION OF THE SHADOWING LEMMA FOR OPERATORS WITH CHAOTIC BEHAVIOUR

  • Argyros, Ioannis K.
    • East Asian mathematical journal
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    • v.27 no.5
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    • pp.521-525
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    • 2011
  • We use a weaker version of the celebrated Newton-Kantorovich theorem [3] reported by us in [1] to find solutions of discrete dynamical systems involving operators with chaotic behavior. Our results are obtained by extending the application of the shadowing lemma [4], and are given under the same computational cost as before [4]-[6].