Mann迭代序列收敛的充要条件 |
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引用本文: | 薛志群,胡雁玲. Mann迭代序列收敛的充要条件[J]. 河北科技大学学报, 1997, 0(4) |
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作者姓名: | 薛志群 胡雁玲 |
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作者单位: | 中国人民解放军军械工程学院基础部 |
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摘 要: | 在一致光滑Banach空间,证明了带误差的Mann迭代序列强收敛于方程Tx=f解的充要条件为{Axn}∞n=0有界或{Txn}∞n=0有界
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关 键 词: | 强增生算子;Mann迭代序列;Banach空间 |
Necessary and Sufficient Conditions of Mann Iterative Sequence Convergence |
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Abstract: | In uniform smooth Banach space,the necessary and sufficient conditions are proved that Mann iterative sequence with error convergences strongly to solution of equation Tx=f are {Axn}∞n=1 bounded or {Txn}∞n=0 bounded. |
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Keywords: | strongly accretive operator Mann iterative sequence Banach space |
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