  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.
