Korean Journal of Mathematics

  • 제27권4호
  • /
  • Pages.1005-1025
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  • 2019
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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CONVERGENCE OF A CONTINUATION METHOD UNDER MAJORANT CONDITIONS

  • Nisha, Shwet (Department of Mathematics Central University of Jharkhand) ;
  • Parida, P.K. (Department of Mathematics Central University of Jharkhand) ;
  • Kumari, Chandni (Department of Mathematics Central University of Jharkhand)
  • 투고 : 2019.06.12
  • 심사 : 2019.09.30
  • 발행 : 2019.12.30
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초록

The paper is devoted to study local convergence of a continuation method under the assumption of majorant conditions. The method is used to approximate a zero of an operator in Banach space and is of third order. It is seen that the famous Kantorovich-type and Smale-type conditions are special cases of our majorant conditions. This infers that our result is a generalized one in comparison to results based on Kantorovich-type and Smale-type conditions. Finally a number of numerical examples have been computed to show applicability of the convergence analysis.

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참고문헌

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