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Strong convergence theorems for nonexpansive semi-groups in Banach spaces

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Yibin University, Yibin, 644007, Sichuan Province, P. R. China

    Zhang Shi-sheng  (张石生)

  2. Department of Mathematics, South West University of Science and Technology, Mianyang, 621002, Sichuan Province, P. R. China

    Yang Li  (杨莉)

  3. Department of Mathematics, Yanbian University, Yanji, 133002, Jilin Province, P. R. China

    Liu Jing-ai  (刘京爱)

Authors
  1. Zhang Shi-sheng  (张石生)
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  2. Yang Li  (杨莉)
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  3. Liu Jing-ai  (刘京爱)
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Corresponding author

Correspondence to Zhang Shi-sheng  (张石生).

Additional information

Contributed by ZHANG Shi-sheng

Project supported by the Natural Science Foundation of Sichuan Province of China (No. 2005A132)

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Zhang, Ss., Yang, L. & Liu, Ja. Strong convergence theorems for nonexpansive semi-groups in Banach spaces. Appl Math Mech 28, 1287–1297 (2007). https://doi.org/10.1007/s10483-007-1002-x

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  • DOI: https://doi.org/10.1007/s10483-007-1002-x

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