The convergence of the modified Mann and Ishikawa iterations in Banach spaces

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作者
Zhiqun Xue
Guiwen Lv
机构
[1] Shijiazhuang Tiedao University,Department of Mathematics and Physics
关键词
uniformly ; -Lipschitz; asymptotically pseudocontractive mapping; fixed point; real Banach space;
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摘要
In this paper, under the new condition we show that the convergence of the modified Mann and Ishikawa iterations is equivalent for uniformly L-Lipschitz asymptotically pseudocontractive mappings in real Banach spaces. Our results extend and improve the corresponding results of Zeng (Acta Math. Sin. 47:219-228, 2004).
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