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Banach空间中具数列的渐近非扩张型映像逼近序列的强收敛性

Strong convergence of approximated sequences for asympoticaiiy nonexpansive type mapping with sequence of number in banach spaces
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摘要 对具数列的渐近非扩张型映像T给出了修正的Ishikawa Reich-Takahashi迭代序列,讨论其对T的不动点的强收敛性。同时,给出了T有不动点且序列Sm(y)=(1-αm)x+αmTmy强收敛到T的不动点的充分条件,其中x∈D,y∈D,D是Banach空间E中闭凸子集,αm∈[0,1],αm→1。改进和推广了近期一些文献的相关结果。 The modified Ishikawa Reich-Takahashi Iterative sequances for asymptotically nonexpansive type mapping T with sequence of number were discussed,which had a strong convergence for the fixed point of T.The sufficient conditions of the existence of fixed point of T and some sequences Sm（y）=（1-αm）x＋αmTmy converging to a fixed point of T were derived,with D being an nonempty closed convex subset of a Banach space E,x,y∈D,αm∈ and αm→1.The outcome improved and extended some recent results.
作者 向雪萍 孟京华 李红
机构地区 九江学院数学系
出处 《南昌大学学报（理科版）》 CAS 北大核心 2011年第2期126-130,共5页 Journal of Nanchang University(Natural Science)
基金 江西省自然科学基金资助项目(2010GQS0129)
关键词 渐近非扩张型映像 修正的Ishikawa Reich-Takahashi迭代序列 不动点 asymptotically nonexpansive type mapping modified Ishikawa Reich-Takahashi Iterative sequence fixed point
分类号 O177.91 [理学—基础数学]
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参考文献11

  • 1胡长松.Banach空间中渐近非扩张映射逼近序列的强收敛性[J].数学物理学报（A辑）,2004,24(2):216-222. 被引量：5
  • 2张石生,徐裕光,何昌.Banach空间中渐近非扩张映象的收敛性定理[J].数学学报（中文版）,2003,46(4):665-672. 被引量：11
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二级参考文献23

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  • 10Chang S. S., Some problems and results in the study of nonlinear ayalysis, Nonlinear Anal. TMA, 1997,30(7): 4197-4208.

共引文献14

南昌大学学报（理科版）
2011年 第2期

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