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Another look at Wang’s new method for solving split common fixed-point problems without priori knowledge of operator norms

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Abstract

In this paper, we give a simple proof of Wang’s recent result concerning split common fixed-point problems (F. Wang, J Fixed Point Theory Appl 19(4): 2427–2436, 2017). Moreover, we provide a more general sufficient condition than Wang’s for the weak convergence to a solution of a split common fixed-point problem.

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Acknowledgements

The authors would like to thank Professor Simeon Reich and the referee(s) for their comments on the manuscript. The first author was supported by the Young Researcher Development Project of Khon Kaen University and Faculty of Science, Khon Kaen University. The research of the second author was supported by the Thailand Research Fund and Khon Kaen University under Grant RSA5980006.

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Correspondence to Satit Saejung.

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Kraikaew, R., Saejung, S. Another look at Wang’s new method for solving split common fixed-point problems without priori knowledge of operator norms. J. Fixed Point Theory Appl. 20, 81 (2018). https://doi.org/10.1007/s11784-018-0567-9

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  • DOI: https://doi.org/10.1007/s11784-018-0567-9

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