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Improved Multi-step Iterative Algorithms for the Fixed Points of Strongly Pseudo-Contractive Map**s

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Bio-inspired Computing – Theories and Applications (BIC-TA 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 682))

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Abstract

In Banach Spaces, we introduce a new improved multi-step iterative algorithm for the fixed points of strongly pseudo-contractive map**s, by proving the convergence for modified Mann iterative sequence, and that the multi-step iterative sequence and Mann iterative scheme are equivalent. We prove the convergence of iterative sequences generalized by the improved multi-step iterative algorithms. The results extend and improve the corresponding related results.

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Acknowledgments

This project was supported by National Natural Science Foundation of China (Grant No. 61179032 and 61303116), the Special Scientific Research Fund of Food Public Welfare Profession of China (Grant No. 201513004-3) and the Research and Practice Project of Graduate Education Teaching Reform of Wuhan Polytechnic University (YZ2015002).

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Authors and Affiliations

  1. Department of Math and Computer, Wuhan Polytechnic University, Wuhan, 430023, Hubei, China

    Jiangrong Liu, Kang Zhou, Shan Zeng & Huaqing Qi

  2. Department of Economics and Management, Wuhan Polytechnic University, Wuhan, 430023, Hubei, China

    Jiangrong Liu, Kang Zhou, Shan Zeng, Huaqing Qi, Bosheng Song & Tingfang Wu

  3. Key Laboratory of Image Information Processing and Intelligent Control School of Automation, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China

    Bosheng Song & Tingfang Wu

Authors
  1. Jiangrong Liu
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  2. Kang Zhou
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  3. Shan Zeng
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  4. Huaqing Qi
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  5. Bosheng Song
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  6. Tingfang Wu
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Correspondence to Kang Zhou .

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  1. **s&author=Jiangrong%20Liu%2C%20Kang%20Zhou%2C%20Shan%20Zeng%20et%20al&contentID=10.1007%2F978-981-10-3614-9_60&copyright=Springer%20Nature%20Singapore%20Pte%20Ltd.&publication=eBook&publicationDate=2016&startPage=489&endPage=496&imprint=Springer%20Nature%20Singapore%20Pte%20Ltd.">Reprints and permissions

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Liu, J., Zhou, K., Zeng, S., Qi, H., Song, B., Wu, T. (2016). Improved Multi-step Iterative Algorithms for the Fixed Points of Strongly Pseudo-Contractive Map**s. In: Gong, M., Pan, L., Song, T., Zhang, G. (eds) Bio-inspired Computing – Theories and Applications. BIC-TA 2016. Communications in Computer and Information Science, vol 682. Springer, Singapore. https://doi.org/10.1007/978-981-10-3614-9_60

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  • DOI: https://doi.org/10.1007/978-981-10-3614-9_60

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3613-2

  • Online ISBN: 978-981-10-3614-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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