On a Two-Step Kurchatov-Type Method in Banach Space

  • Ioannis K. Argyros
  • Santhosh GeorgeEmail author


We present the semi-local convergence analysis of a two-step Kurchatov-type method to solve equations involving Banach space valued operators. The analysis is based on our ideas of recurrent functions and restricted convergence region. The study is completed using numerical examples.


Kurchatov method Semi-local convergence Fréchet derivative Banach space 

Mathematics Subject Classification

65H10 47H17 49M15 65D10 65G99 



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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematical SciencesCameron UniversityLawtonUSA
  2. 2.Department of Mathematical and Computational SciencesNational Institute of Technology KarnatakaMangaloreIndia

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