Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON THE CONVERGENCE OF NEWTON'S METHOD FOR SET VALUED MAPS UNDER WEAK CONDITIONS

  • Received : 2012.01.20
  • Accepted : 2012.03.05
  • Published : 2012.03.30
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Abstract

We provide a convergence analysis of Newton's method for set valued maps under center H$\ddot{o}$lder continuity conditions on the Fr$\acute{e}$chet derivative of the operator involved. This approach extends the applicability of earlier works [4,5,7].

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References

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