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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 181))

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Abstract

The purpose of this paper is to introduce and study Ishikawa iterative algorithms for solving the SFP in the setting of infinite-dimensional Hilbert spaces. The main results presented in this paper improve and extend some recent results done by Xu [Iterative methods for the split feasibility problem in infinite-dimensional Hilbert space, Inverse Problems 26 (2010) 105018]. At the end we prove that the accumulation of errors in Ishikawa iterative CQ algorithm is bounded in certain range.

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References

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© 2013 Springer-Verlag Berlin Heidelberg

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Dingping, W., Qibin, D., Erli, W., Hang, Z. (2013). The Split Feasibility Problem in Hilbert Space. In: Yang, G. (eds) Proceedings of the 2012 International Conference on Communication, Electronics and Automation Engineering. Advances in Intelligent Systems and Computing, vol 181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31698-2_161

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  • DOI: https://doi.org/10.1007/978-3-642-31698-2_161

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31697-5

  • Online ISBN: 978-3-642-31698-2

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