The equivalence of Ishikawa-Mann and multistep iterations in Banach space
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@Article{NM-16-83,
author = {L. Yang},
title = {The equivalence of Ishikawa-Mann and multistep iterations in Banach space},
journal = {Numerical Mathematics, a Journal of Chinese Universities},
year = {2007},
volume = {16},
number = {1},
pages = {83--91},
abstract = {
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.
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.
L. Yang. (2007). The equivalence of Ishikawa-Mann and multistep iterations in Banach space.
Numerical Mathematics, a Journal of Chinese Universities. 16 (1).
83-91.
doi:
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