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渐近拟非扩张映射的Ishikawa迭代序列(英文) 被引量：1

Ishikawa Iterative Sequences for Asymptotically Quasi-nonexpansive Mappings
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摘要 设E为Banach空间,T是E到E上的渐近拟非扩张映射,T的不动点集合F(T)非空.对任意的x0∈E,如Ishikawa迭代序列定义xn+1=(1-tn)xn+tnTnyn,yn=(1-sn)+snTnxn,　tn,sn∈[0,1],　n=1,2,3…在不要求T具有连续的条件下,给出并证明了序列{xn}收敛到T的不动点的充分必要条件,我们的定理改进了近期的相应结果. Let E be a Banach space, T:E→E an asymptotically quasinonexpansive mapping of E.F(T) denotes the set of fixed points of T and F(T) is nonempty. For any given x0∈E, the Ishikawa sequence {xn} is defined byxn+1=(1-tn)xn+tnTnyn,yn=(1-sn)+snTnxn,tn,sn∈,n=1,2,3....In this paper, a sufficient and necessary condition for an Ishikawa iterative sequence of asymptotically quasinonexpansive mapping T to converge to a fixed point where T need not be continuous. The recently corresponding results are improved by our theorems.
作者 黄家琳
机构地区 宜宾学院数学系
出处 《四川师范大学学报（自然科学版）》 CAS CSCD 2003年第1期10-12,共3页 Journal of Sichuan Normal University（Natural Science）
基金 四川省教育厅重点科研基金资助项目
关键词 BANACH空间 渐近似非扩张映射 ISHIKAWA迭代序列 不动点 收敛性 Banach space Asymptotically quasi-nonexpansive mapping Ishikawa iterative sequence
分类号 O177.91 [理学—基础数学]
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参考文献6

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同被引文献18

  • 1叶明露,邓方平.一般变分不等式的超梯度算法[J].四川师范大学学报（自然科学版）,2005,28(3):265-269. 被引量：4
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  • 8Noor M A. Some algorithm for general monotone mixed variational inequalities[ J]. Mathematics with Computer Modeling, 1999,29:1 ～ 9.
  • 9Noor M A. A modified extragradient method for general monotone variational inequalities[ J]. Computers and Mathematics with Applications, 1999,38:19 ～ 24.
  • 10He B S. A class of projection and contraction methods for monotone variational inequalities[ J]. Application Math Optimization, 1997,35:69 ～ 76.

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四川师范大学学报（自然科学版）
2003年 第1期

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