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On the Split Equality Fixed Point Problem of Quasi-Pseudo-Contractive Mappings Without A Priori Knowledge of Operator Norms with Applications

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Abstract

In this paper, we consider the split equality fixed point problem for quasi-pseudo-contractive mappings without a priori knowledge of operator norms in Hilbert spaces, which includes split feasibility problem, split equality problem, split fixed point problem, etc., as special cases. A unified framework for the study of this kind of problems and operators is provided. The results presented in the paper extend and improve many recent results.

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Acknowledgements

The authors would like to express their thanks to the referees for their helpful comments and advices. This work was supported by the Natural Science Foundation of Center for General Education, China, Medical University, Taichung, Taiwan, and the Ministry of Science and Technology, Taiwan (Grant No. MOST 108-2115-M-037-001). This work was also supported by the Scientific Research Fund of Sichuan Provincial Department of Science and Technology (No. 2018JY0334).

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Authors and Affiliations

  1. Center for General Education, China Medical University, Taichung, 40402, Taiwan

    Shih-sen Chang & Jen-Chih Yao

  2. Center for Fundamental Science and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung, 80708, Taiwan

    Ching-Feng Wen

  3. Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung, 80708, Taiwan

    Ching-Feng Wen

  4. Department of Mathematics, Yibin University, Yibin, 644000, Sichuan, China

    Liang-cai Zhao

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  1. Shih-sen Chang
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  2. Jen-Chih Yao
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  3. Ching-Feng Wen
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  4. Liang-cai Zhao
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Correspondence to Ching-Feng Wen.

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Communicated by Akhtar A. Khan.

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Chang, Ss., Yao, JC., Wen, CF. et al. On the Split Equality Fixed Point Problem of Quasi-Pseudo-Contractive Mappings Without A Priori Knowledge of Operator Norms with Applications. J Optim Theory Appl 185, 343–360 (2020). https://doi.org/10.1007/s10957-020-01651-8

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  • DOI: https://doi.org/10.1007/s10957-020-01651-8

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