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Strong convergence of Browder’s and Halpern’s type iterations in Hilbert spaces

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Abstract

We use results from theory of nonexpansive mappings to unify and deduce the recent results of Lin and Takahashi (Positivity 16:429–453, 2012) and of Takahashi (J Optim Theory Appl 157:781–802, 2013).

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Acknowledgements

The authors thank the referee for their comments and suggestions on the manuscript. The first author is supported by the research Grant from the Faculty of Science Khon Kaen University. The research of the second author is supported by the Thailand Research Fund and Khon Kaen University under Grant RSA5980006.

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  1. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand

    Kanokwan Wongchan & Satit Saejung

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  1. Kanokwan Wongchan
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  2. Satit Saejung
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Correspondence to Satit Saejung.

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Wongchan, K., Saejung, S. Strong convergence of Browder’s and Halpern’s type iterations in Hilbert spaces. Positivity 22, 969–982 (2018). https://doi.org/10.1007/s11117-018-0554-9

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  • DOI: https://doi.org/10.1007/s11117-018-0554-9

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