一致凸B空间中非扩张映象具误差的Ishikawa迭代过程的收敛性

  • 张文良 ,
  • 侯志彬 ,
  • 何震
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  • 1.河北金融学院,基础部,河北,保定,071000; 2.河北大学,数学与计算机学院,河北,保定,071002

网络出版日期: 2007-07-25

基金资助

河北省自然科学基金,教育部科学技术研究重点支持项目

Convergence of Ishikawa Iteration Process with Errors for Nonexpansive Mapping in A Uniformly Convex B-space

  • ZHANG Wen-liang ,
  • HOU Zhi-bin ,
  • HE Zhen
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Online published: 2007-07-25

摘要

利用一致凸Banach空间中凸性模的性质和对偶映射在任意有界集的一致连续性,研究了非扩张映象具误象的Ishikawa迭代过程的收敛性问题.得出具误差的Ishikawa迭代序列强收敛和弱收敛的某些充分条件.主要结果改进并完善了前期研究者的相应成果.

本文引用格式

张文良 , 侯志彬 , 何震 . 一致凸B空间中非扩张映象具误差的Ishikawa迭代过程的收敛性[J]. 河北大学学报(自然科学版), 2007 , 27(4) : 352 -356 . DOI: 10.3969/j.issn.1000-1565.2007.04.005

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