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k-严格伪压缩映象簇公共不动点的强收敛定理 被引量：1

Strong Convergence Theorem for Common Fixed Point of k-strict Pseudo-Contraction Mapping Family
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摘要 利用投影技巧改进Mann迭代方法,建立了一个新的逼近有限个k-严格伪压缩映象公共不动点的迭代方法,并在一定条件下证明了该方法所产生的迭代序列的强收敛定理。 By using Mann iteration method modified by projection technique, this paper sets up a new iteration method for common fixed-point of the approximation to a finite k-strict pseudo-contraction mapping family and gives the proofs for the strong convergence theorem of the iterative sequence produced by this method under certain condition.
作者 龚黔芬
机构地区 重庆工商大学计算机与信息工程学院
出处 《重庆工商大学学报（自然科学版）》 2014年第2期8-11,15,共5页 Journal of Chongqing Technology and Business University:Natural Science Edition
基金 重庆市自然科学基金(CSTC 2012jjA00039 CSTC2013jcyjA00031) 重庆市教委科技研究项目(KJ130712 KJ130731)
关键词 k-严格伪压缩映象 改进的Mann迭代 公共不动点 强收敛 半闭原理 k-strict pseudo-contraction mapping modified Mann iteration common fixed-point strongconvergence semi-closed principle
分类号 O177.91 [理学—基础数学]
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参考文献12

二级参考文献51

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共引文献21

同被引文献15

  • 1ANH P N.Strong Convergence Theorems for Nonexpansive Mappings and Ky Fan Inequalities [ J] .J Optim Theory Appl, 2012 (154) :303-320.
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  • 9闻道君,宋树枝,龙宪军.非凸变分不等式和非扩张映象的Wiener-Hopf方法[J].云南大学学报（自然科学版）,2012,34(1):5-8. 被引量：4
  • 10龚黔芬,闻道君.非凸变分不等式和Wiener-Hopf方程的逼近方法[J].西南师范大学学报（自然科学版）,2012,37(2):34-37. 被引量：4

引证文献1

重庆工商大学学报（自然科学版）
2014年 第2期

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