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Received: 2007-04-20
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Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings
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WANG Ya-qin. Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings[J]. Journal of Zhejiang University Science A, 2007, 8(12): 2032-2036.
@article{title="Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings",
author="WANG Ya-qin",
journal="Journal of Zhejiang University Science A",
volume="8",
number="12",
pages="2032-2036",
year="2007",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2007.A2032"
}
%0 Journal Article
%T Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings
%A WANG Ya-qin
%J Journal of Zhejiang University SCIENCE A
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%P 2032-2036
%@ 1673-565X
%D 2007
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2007.A2032
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T1 - Weak and strong convergence of an explicit iteration scheme with perturbed mapping for nonexpansive mappings
A1 - WANG Ya-qin
J0 - Journal of Zhejiang University Science A
VL - 8
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SP - 2032
EP - 2036
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2007.A2032
Abstract: In this paper, we consider an explicit iteration scheme with perturbed mapping for nonexpansive mappings in real q-uniformly smooth Banach spaces. Some weak and strong convergence theorems for this explicit iteration scheme are established. In particular, necessary and sufficient conditions for strong convergence of this explicit iteration scheme are obtained. At last, some useful corollaries for strong convergence of this explicit iteration scheme are given.
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