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Article
Expression of generalized Newton iteration method via generalized local fractional Taylor series
Advances in Computer Science and its Applications (2012)
  • Yang Xiao-Jun
Abstract

Local fractional derivative and integrals are revealed as one of useful tools to deal with everywhere continuous but nowhere differentiable functions in fractal areas ranging from fundamental science to engineering. In this paper, a generalized Newton iteration method derived from the generalized local fractional Taylor series with the local fractional derivatives is reviewed. Operators on real line numbers on a fractal space are induced from Cantor set to fractional set. Existence for a generalized fixed point on generalized metric spaces may take place.

Keywords
  • Newton iteration method,
  • generalized local fractional Taylor series,
  • local fractional derivative,
  • real line number,
  • fractal space,
  • generalized fixed point
Publication Date
April 2, 2012
Publisher Statement
This paper is coprighted by the author
Citation Information
Yang Xiao-Jun. "Expression of generalized Newton iteration method via generalized local fractional Taylor series" Advances in Computer Science and its Applications 1.2 (2011): 89-92.