Some
attempts
to
modify
the
Mann
iteration
method (1.1)
so
that
strong
con¬vergence
is guaranteed
have recently
been made.
Nakajo
and Takahashi (2003)
proposed
the following
modification
of
the
Mann iteration method (1.1)
for
a sin¬gle
nonexpansive
mapping T
in
a Hilbert
space H: