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严格伪压缩映射隐迭代序列的收敛性问题

Converging Problem of Strictly Pseudocompress Mapping's Implicit Iteration Sequence
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摘要 在Banach空间讨论严格伪压缩映射有限族的隐迭代序列弱收敛于其公共不动点的条件. This paper discussed the comdition that a implicit iteration sequence of the strictly pseudocompress mapping's finite family converges to its common fixed point in Banach space.
作者 王娴 鲍俊艳
出处 《保定学院学报》 2008年第2期14-15,共2页 Journal of Baoding University
关键词 严格伪压缩映射 非扩张映射 隐迭代序列 不动点 strictly pseudocompress mapping nonexpansive mapping implicit iteration sequence fixed point
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参考文献4

  • 1Opial Z.Weak Convergence of Successive Approximations for Nonexpansive Mappings[].Bulletin of the American Mathematical Society.1967
  • 2OSILIKE M O,UDOMENE A.Demiclosedness principle and convergence results for strictly pseudocontractive mappings of Browder_Petryshyn type[].Journal of Mathematical.2001
  • 3H.K.Xu,and M.G.Ori.An implicit iteration process fornonexpansive mappings[].NumerFunctAnaland Optimiz.2001
  • 4Z.H.Sun.Strong convergence of an implicit iteration process for a finitefamily of asymptotically quasi-nonexpansive mappings[].JMathAnalAppl.2003

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