• Title/Summary/Keyword: Aubin continuous map

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CONVERGENCE OF THE NEWTON METHOD FOR AUBIN CONTINUOUS MAPS

  • Argyros, Ioannis K.
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.153-157
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    • 2009
  • Motivated by optimization considerations we revisit the work by Dontchev in [7] involving the convergence of Newton's method to a solution of a generalized equation in a Banach space setting. Using the same hypotheses and under the same computational cost we provide a finer convergence analysis for Newton's method by using more precise estimates.