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Banach空间中渐近拟非扩张映象收敛定理(英文)

The Convergence Theorems of Fixed point for Asymptotically Quasi - Nonexpansive Mappings in Banach Space
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摘要 给出了Banach空间中具随机误差Ishikawa迭代序列收敛于渐近拟非扩张映象的不动点的新的充分和必要条件.推广 和改进了Liu Q.的结果. In this paper, a new sufficient and necessary condition for Ishikawa iterative sequences with random error to converge to fixed points of asymptotically quasi-nonexpansive mappings is given. The paper extends and develops the results of Liu.
作者 谢芳
出处 《昆明师范高等专科学校学报》 2002年第4期20-23,30,共5页 Journal of Kunming Teachers College
关键词 渐近拟非扩张映象 拟非扩张映象 渐近非扩张映象 随机误差 ISHIKAWA迭代序列 asymptotically quasi - nonexpansive mappings quasi - nonexpansive mappings asymptotically nonexpan-sive mappings ishikawa iterative sequence with random errors
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参考文献4

  • 1W. V. Petryshyn and T. E. Williamson.Strong and weak convergence of the sequences of successive approximations for quasi-nonexpansive mapping[].Journal of Mathematical Analysis and Applications.1973
  • 2Liu Qihou.Iterative sequences for asymptotically quasi-nonexpansive mapping[].Journal of Mathematical Analysis and Applications.2001
  • 3Liu Qihou.Iterative sequences for asymptotically quasi-nonexpansive mapping with error number[].Journal of Mathematical Analysis and Applications.2001
  • 4M. K. Ghosh and L. Debnath.Convergence of Ishikawa iterates of quasi-nonexpansive mappings[].Journal of Mathematical Analysis and Applications.1997

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