Applied Mathematics and Mechanics

, Volume 28, Issue 10, pp 1287–1297 | Cite as

Strong convergence theorems for nonexpansive semi-groups in Banach spaces

  • Zhang Shi-sheng  (张石生)
  • Yang Li  (杨莉)
  • Liu Jing-ai  (刘京爱)


Some strong convergence theorems of explicit composite iteration scheme for nonexpansive semi-groups in the framework of Banach spaces are established. Results presented in the paper not only extend and improve the corresponding results of Shioji-Takahashi, Suzuki, Xu and Aleyner-Reich, but also give a partially affirmative answer to the open questions raised by Suzuki and Xu.

Key words

nonexpansive semi-group demi-closed principle common fixed point uniformly smooth Banach space weakly continuous normalized duality mapping 

Chinese Library Classification


2000 Mathematics Subject Classification

47H20 47H10 


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Copyright information

© Editorial Committee of Appl. Math. Mech. 2007

Authors and Affiliations

  • Zhang Shi-sheng  (张石生)
    • 1
  • Yang Li  (杨莉)
    • 2
  • Liu Jing-ai  (刘京爱)
    • 3
  1. 1.Department of MathematicsYibin UniversityYibinP. R. China
  2. 2.Department of MathematicsSouth West University of Science and TechnologyMianyangP. R. China
  3. 3.Department of MathematicsYanbian UniversityYanjiP. R. China

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