Abstract
We study the split common null point problem in two Hilbert spaces. In order to solve this problem, we propose a new algorithm and establish a strong convergence theorem for it. Our scheme combines the hybrid projection method with the proximal point algorithm.
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Acknowledgements
The first author was partially supported by the Israel Science Foundation (Grant 820/17), by the Fund for the Promotion of Research at the Technion and by the Technion General Research Fund. The second author was supported by the Science and Technology Fund of the Vietnam Ministry of Education and Training (B 2019). Both authors are grateful to the editors and the referees for their useful comments and helpful suggestions.
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Reich, S., Tuyen, T.M. A new algorithm for solving the split common null point problem in Hilbert spaces. Numer Algor 83, 789–805 (2020). https://doi.org/10.1007/s11075-019-00703-z
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DOI: https://doi.org/10.1007/s11075-019-00703-z