Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE CONVERGENCE OF A NEWTON-LIKE METHOD UNDER WEAK CONDITIONS

  • Argyros, Ioannis K. (Department of Mathematical Sciences Cameron University) ;
  • Ren, Hongmin (Department of Information and Electronics Hangzhou Radio and TV University)
  • Received : 2010.04.17
  • Published : 2011.10.31
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Abstract

We provide a semilocal convergence analysis for a Newtonlike method under weak conditions in a Banach space setting. In particular, we only assume that the Gateaux derivative of the operator involved is hemicontinuous. An application is also provided.

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References

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