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涉及渐近非扩张映象的带误差的合成显迭代新算法 被引量:1

New Composite Explicit Iterative Scheme for Asymptotically Nonexpansive Mappings with Errors
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摘要 在适当的条件下,证明了一涉及渐近非扩张映象的带误差的合成显迭代序列弱收敛或强收敛到有限族渐近非扩张映象的一公共不动点.在未增加任何附加条件的情况下,将最近的一相关结果由隐迭代算法改进为显式合成迭代算法. Under some suitable conditions,a new convergent theorem for a composite explicit iterative process with errors is proved.It is worth mentioning that this result extends the corresponding results from implicit iterative process to composite explicit iterative process without any additive assumptions.
作者 黄家琳
机构地区 宜宾学院数学系
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第3期41-44,共4页 Journal of Southwest China Normal University(Natural Science Edition)
基金 四川省教育厅自然科学基金资助项目(08ZC001)
关键词 一致凸性 渐近非扩张映象 公共不动点 uniform convexity asymptotically nonexpansive mapping common fixed point
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