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On the split common fixed point problem for strict quasi-ϕ-pseudocontractive mappings in Banach spaces

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Abstract

The purpose of this paper is to propose an algorithm for solving the split common fixed point problem for strict quasi-ϕ-pseudocontractive mappings in Banach spaces. It is proved that the sequence generated by the proposed iterative algorithm converges strongly to a solution of the split common fixed point problem. Then, the main result is used to study the split common null point problem and the split quasi-inclusion problem. Finally, a numerical example is provided to illustrate our main result. The results presented in this paper extend and improve some recent corresponding results.

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Acknowledgments

The authors are grateful for the reviewers’ valuable suggestions.

Funding

This work was supported by the Scientific Research Fund of SiChuan Provincial Education Department (No. 16ZA0333) and Talent Project of Yibin University (No. 2018RC17).

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Authors and Affiliations

  1. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, Sichuan, People’s Republic of China

    Xindong Liu & Zili Chen

  2. School of Mathematics, Yibin University, Yibin, 644007, Sichuan, People’s Republic of China

    Xindong Liu & Jinxing Liu

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  1. Xindong Liu
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Correspondence to Xindong Liu.

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Liu, X., Chen, Z. & Liu, J. On the split common fixed point problem for strict quasi-ϕ-pseudocontractive mappings in Banach spaces. Numer Algor 87, 1129–1145 (2021). https://doi.org/10.1007/s11075-020-01002-8

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