数学物理学报 ›› 2014, Vol. 34 ›› Issue (3): 669-673.

• 论文 • 上一篇    下一篇

一致光滑Banach空间中&Phi|-半压缩映射具误差Mann迭代收敛定理的注释

薛志群|吕桂稳   

  1. 石家庄铁道大学 数理系 石家庄 050043
  • 收稿日期:2012-04-22 修回日期:2013-12-30 出版日期:2014-06-25 发布日期:2014-06-25
  • 基金资助:

    河北省自然科学基金(A2011210033)资助

Remarks of Convergence Theorems of Mann Iterative Process with Errors for Φ-Hemicontractive Mappings in Uniformly Smooth Real Banach Spaces

 XUE Zhi-Qun, LV Gui-Wen   

  1. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043
  • Received:2012-04-22 Revised:2013-12-30 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    河北省自然科学基金(A2011210033)资助

摘要:

文章在一致光滑Banach空间, 获得了广义Lipschitz Φ -半压缩映射带误差的Mann迭代收敛定理. 该结果改进并拓广了文献[1, 7, 10--12]中相应的结果.

关键词: Φ-半压缩映射, 带误差的Mann迭代, 一致光滑Banach空间

Abstract:

In this paper, we obtain the convergence of Mann iterative process with errors for generalized Lipschitz  Φ-hemicontractive mappings in uniformly smooth real Banach spaces. Our results improve and extend the corresponding results of [1, 7, 10--12].

Key words: Generalized Lipschitz,  Φ-hemicontractive mapping, Mann iteration with errors, Uniformly smooth Banach space

中图分类号: 

  • 47H06