Abstract: Suppose
that for a real Banach space E and
Lipschitzian f
-strongly accretive operator T
: E®E, {an},
{bn}
are
real sequences satisfying (i) 0
£an,
bn£
1, (ii) (iii) bn®
0 as n®¥.
Then we obtain that for any x0ÎE, the Ishikawa iteration sequence {xn}
with errors converges strongly to the unique
solution x*
of the equation Tx
= f.
Keywords and phrases: f -strongly accretive operator, nonlinear equation,
Ishikawa iterative sequences with errors.
