Abstract
We study the split common fixed point problem for Bregman relatively nonexpansive operators in real reflexive Banach spaces. Using Bregman distances, we propose two new projection algorithms for solving this problem.
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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 Thai Nguyen University of Sciences. Both authors are grateful to the editors and the referees for their useful comments and helpful suggestions.
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Communicated by Jalal M. Fadili.
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Reich, S., Tuyen, T.M. Two Projection Algorithms for Solving the Split Common Fixed Point Problem. J Optim Theory Appl 186, 148–168 (2020). https://doi.org/10.1007/s10957-020-01702-0
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DOI: https://doi.org/10.1007/s10957-020-01702-0
Keywords
- Bregman distance
- Bregman projection
- Bregman relatively nonexpansive operator
- Split common fixed point problem