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Banach空间中有限个渐近非扩展映象公共不动点的隐式迭代逼近

Implicit iterative approximation for a finite family of asymptotically nonexpansive mappings in Banach spaces
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摘要 在更一般的条件下研究了Banach空间中有限个渐近非扩展映象和非扩展映象公共不动点的隐式迭代过程的强收敛问题.所得结果推广和发展了已有文献中的有关结果. The purpose of this paper is to study the strong convergence of implicit iteration process to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces.The results presented in this paper extend and improve the corresponding results of previous papers.
作者 王绍荣 陈瑛
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2005年第1期63-69,共7页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 大理学院科研基金(2002X42)
关键词 渐近非扩展映象 非扩展映象 有限族的隐式迭代过程 公共不动点 强收敛 asymptotically nonexpansive mapping nonexpansive mapping implicit iterative sequence of a finite family common fixed point strong convergence
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参考文献7

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