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带误差的合成迭代逼近非扩张映象半群公共不动点

Composite Iteration Approximation for Common Fixed Points of Nonexpansive Semigroups with Error
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摘要 适当限制迭代式的参数后,利用非扩张半群的性质以及Banach极限技巧,在一致光滑的Banach空间框架下获得了非扩张映象半群显式合成迭代序列的强收敛定理. After some restrictions are given on the parameters of iteration, a strong convergence theorem of explicit composite iteration scheme for nonexpansive semi-groups is given by using the properties of non- expansive semigroups and the technique of Banach limit in the framework of Banach spaces.
作者 黄家琳 严革
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第10期99-102,共4页 Journal of Southwest 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 非扩张半群 一致光滑的Banach空间 BANACH极限 nonexpansive semigroup uniformly smooth Banach space Banach limit
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