TY - JOUR T1 - The equivalence of Ishikawa-Mann and multistep iterations in Banach space AU - L. Yang JO - Numerical Mathematics, a Journal of Chinese Universities VL - 1 SP - 83 EP - 91 PY - 2007 DA - 2007/02 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/10081.html KW - AB -
Let $E$ be a real Banach space and
$T$ be a continuous $\Phi-$strongly accretive operator. By using a
new analytical method, it is proved that the convergence of Mann,
Ishikawa and three-step iterations are equivalent to the convergence
of multistep iteration. The results of this paper extend the results
of Rhoades and Soltuz in some aspects.