Mediterranean Journal of Mathematics

, Volume 13, Issue 4, pp 2287–2300 | Cite as

On the Domain of Starting Points of Newton’s Method Under Center Lipschitz Conditions

  • J. A. Ezquerro
  • M. A. Hernández-Verón


When the semilocal convergence of Newton’s method is studied in Banach spaces under center Lipschitz conditions, it is usual to choose the point where the Lipschitz condition is centered as the initial point for Newton’s method. In this work, we improve this choice looking for a domain of initial points (a convergence domain).


Nonlinear operator Newton’s method semilocal convergence region of accessibility integral equation nonlinear system 

Mathematics Subject Classification

47H99 65H10 65J15 


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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Department of Mathematics and ComputationUniversity of La RiojaLogroñoSpain

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