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Split Common Fixed Point Problem for Quasi-Pseudo-Contractive Mapping in Hilbert Spaces

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Abstract

In this paper, the split common fixed point problem for quasi-pseudo-contractive mappings is studied in Hilbert spaces. By using the hybrid projection method, a new algorithm and some strong convergence theorems are established under suitable assumptions. Our results not only improve and generalize some recent results but also give an affirmative answer to an open question.

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Funding

This work was supported by the Natural Science Foundation of China Medical University, Taiwan. This study was also supported by the National Natural Science of China (No. 11361070).

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All the authors contributed equally to the writing of the present article. And they also read and approved the final paper.

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Correspondence to Shih-sen Chang.

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The authors declare that they have no competing interests.

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Communicated by Rosihan M. Ali.

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Chang, Ss., Wang, L., Zhao, Y.H. et al. Split Common Fixed Point Problem for Quasi-Pseudo-Contractive Mapping in Hilbert Spaces. Bull. Malays. Math. Sci. Soc. 44, 1155–1166 (2021). https://doi.org/10.1007/s40840-020-01000-y

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  • DOI: https://doi.org/10.1007/s40840-020-01000-y

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