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关于Banach空间中增生和伪压缩型映象迭代序列的收敛性问题 被引量：3

Some Convergence Problem of Iterative Sequences for Accretive and Pseudo-Contractive Type Mappings in Banach Spaces
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摘要 得出了Banach空间中增生和伪压缩型映象Ishikawa、Mann和最速下降序列强收敛于其不动点的充分必要条件·　所得结果推广。 Some necessary and sufficient conditions for convergence of Ishikawa Mann and steepest descent iterative sequence for accretive and pseudo-contractive type mappings in Banach spaces were obtained. The results improve, extend and include some recent results.
作者 张石生
机构地区 四川大学数学系
出处 《应用数学和力学》 CSCD 北大核心 2002年第4期359-370,共12页 Applied Mathematics and Mechanics
关键词 BANACH空间 收敛性 增生映象 伪压缩映象 最速下降序列 MANN迭代序列 Ishikawa失代序列 accretive mapping pseudo-contractive mapping hemi-accretive mapping hemi-pseudo-contractive mapping Ishikawa iterative sequence Mann iterative sequence steepest descent sequence
分类号 O177.91 [理学—基础数学]
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参考文献17

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应用数学和力学
2002年 第4期

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